Equivalent ratios are those that can be simplified or reduced to the same value. In other words, two ratios are considered equivalent if one can be expressed as a multiple of the other. Some examples of equivalent ratios are 1:2 and 4:8, 3:5 and 12:20, 9:4 and 18:8, etc. What are Equivalent Ratios?
How to identify equivalent ratios?
Methods to Find the Equivalent Ratios
- Making the consequents the same
- Finding the decimal form of both the ratios
- Cross multiplication method
- Visual method
How do I determine if ratios are equivalent?
We will look at how to calculate equivalent ratios shortly, first lets look at how to use the free online equivalent ratio calculator:
- Enter a Ratio into the equivalent ratio calculator, for example, you could enter 7:25
- Select the number of equivalent ratios that you would like to see in the table of results
- The equivalent ratio calculator will calculate as you type and produce a lis of equivalent ratios in a table below the calculator
How do you determine whether the ratios are equivalent?
equivalent ratios: Two ratios are equivalent if you can multiply each of the numbers in the first ratio by the same factor to get the numbers in the second ratio. Each of these is a pair of equivalent ratios. For each pair, explain why they are equivalent ratios or draw a diagram that shows why they are equivalent ratios.
What are facts about equivalent ratios?
In fact, they’re called equivalent ratios, which are ratios that express the same relationship between two numbers. The ratios 60/1 and 120/2 are equivalent because the relationship between the two parts of the ratios didn’t change. According to the ratio 60/1, you travel 60 miles for every hour you drive.
What is an example of equivalent ratios?
What is the Definition of Equivalent Ratios? Two or more ratios are equivalent if they have the same value when reduced to the lowest form. For example, 1:2, 2:4, 4:8 are equivalent ratios. All three ratios have the same value 1:2 when reduced to the simplest form.
What is ratio and equivalent ratio?
A ratio simply compares one number to another. An equivalent ratio means that the proportional relationship stays the same. You can calculate your own equivalent ratios by multiplying the first number by the same ratio, or unit of proportion, to get the second number.
What is a ratio of 2 to 1 equivalent?
For example, if you split 12 as a 2:1 ratio, you get 8 and 4 (one part twice is large as the other).
What is the ratio 2 4 equivalent to?
= 1:2Note that the ratio 2 to 4 is said to be equivalent to the ratio 1 to 2, that is 2:4 = 1:2. Note also that a fraction is a number that stands for “part of something”, so although this ratio can be expressed as a fraction, in this case it does NOT represent “part of something”.
How do you find equivalent ratios?
Two ratios that have the same value are called equivalent ratios. To find an equivalent ratio, multiply or divide both quantities by the same number.
What is an equivalent ratio for 3 to 5?
The given ratios 3: 5 and 15: 25 are equal.
What is the ratio of 4 to 1?
Ratio of 4 to 1 (4:1) A ratio of 4 to 1 can be written as 4 to 1, 4:1, or 4/1. Furthermore, 4 and 1 can be the quantity or measurement of anything, such as students, fruit, weights, heights, speed and so on. A ratio of 4 to 1 simply means that for every 4 of something, there are 1 of something else, with a total of 5.
What is the ratio 8 to 2 equivalent to?
Since the simplest form of the fraction 8/2 is 4/1, the simplest form of the ratio 8:2 is also 4:1.
What is the ratio of 5 to 10?
Since the simplest form of the fraction 5/10 is 1/2, the simplest form of the ratio 5:10 is also 1:2.
What is 3/4 as a ratio?
Ratio of 3 to 4 (3:4) A ratio of 3 to 4 can be written as 3 to 4, 3:4, or 3/4. Furthermore, 3 and 4 can be the quantity or measurement of anything, such as students, fruit, weights, heights, speed and so on. A ratio of 3 to 4 simply means that for every 3 of something, there are 4 of something else, with a total of 7.
Which ratio is equivalent to the ratio 3 4?
Answer : each one of 6 : 8 and 9: 12 is equivalent to 3 : 4.
What is the ratio of 2 to 6?
Ratio of 2 to 6 (2:6) A ratio of 2 to 6 can be written as 2 to 6, 2:6, or 2/6. Furthermore, 2 and 6 can be the quantity or measurement of anything, such as students, fruit, weights, heights, speed and so on. A ratio of 2 to 6 simply means that for every 2 of something, there are 6 of something else, with a total of 8.
What is the ratio 8 2 equivalent to?
Since the simplest form of the fraction 8/2 is 4/1, the simplest form of the ratio 8:2 is also 4:1.
What is the ratio of 1:2 and 16?
Since the simplest form of the fraction 12/16 is 3/4, the simplest form of the ratio 12:16 is also 3:4.
What is the equivalent of 8 1:2?
2/32/3 = 2×4 / 3×4 = 8/12 which is an equivalent fraction of 2/3.
What is the ratio of 1:2 to 20?
Since the simplest form of the fraction 12/20 is 3/5, the simplest form of the ratio 12:20 is also 3:5.
What are equivalent ratios?
When the comparison of two different ratios is same, the such ratios are called equivalent ratios. For example, 1:2 and 3:6 are equivalent.
How can we find the equivalent ratio of 6:4?
To find the equivalent ratio of 6:4, convert the ratio into fraction and then multiply and divide the fraction by a common factor.
6:4 = 6/4 x (2/…
Are 30 : 20 and 24 : 16 equivalent ratios?
30:20 and 24:16 are equivalent ratios, since the lowest form of both ratios is 3:2.
What is the simplest form of 14:21?
The simplest form of 14:21 is ⅔.
What is the equivalent of ratio?
Equivalent Ratio: Ratio is an arithmetic concept that is used to compare two or more numbers. It can be expressed as a fraction. It helps to identify how larger or smaller is one quantity to another when it is compared. It can be represented as a: b. Here a is called the antecedent, and b is called the consequent.
What is the ratio of two quantities?
Their ratio is the relationship between two quantities of the same kind and in the same unit that is obtained by dividing one quantity by the other. Both the quantities must be of the same kind means, if one quantity is the number of students, the other quantity must also be the number of students. The ratio between two unlike quantities has no meaning.
How to find equivalent fractions?
To find the equivalent fractions, first, we should represent the given ratios in fraction form and then simplify them to see whether they are equivalent ratios or not. Simplification of the ratios can be done till both the antecedent and the consequent are still be whole numbers.
What is the fraction form of a:b and c:d?
Ans: let us say a: b, c: d are the ratios and the fraction form of them are a b & c d respectively.
Is a ratio a fraction?
A ratio can be represented as a fraction. The concept of an equivalent ratio is similar to the concept of equivalent fractions. A ratio that we get either by multiplying or dividing by the same number, other than zero, to the antecedent and the consequent of a ratio is called an equivalent ratio.
Is 6 10 the same as 6: 10?
Note that both the fractions are equivalent to the same fraction 6 10 or the ratio 6: 10. Thus, the given ratios are equivalent.
How to use equivalent ratio calculator?
How to Use the Equivalent Ratio Calculator? The procedure to use the equivalent ratio calculator is as follows: Step 1: Enter the two ratio values in the respective input fields. Step 2: Now click the button “Solve” to get the output. Step 3: The result (TRUE or FALSE) will be displayed in the output field.
What is ratio in math?
Ratio Definition. Ratios are the simplest Mathematical expressions that reveal the significant relationship between the values. In other words, a ratio is defined as the relationship between two numbers that indicate how many times the first number contains the second number.
Is 15:25 equal to 3:5?
The given ratios 3: 5 and 15: 25 are equal. Because when you divide the ratio 15: 25 by 5 on both numerator and denominator, the first ratio 3: 5 can be obtained. Similarly, when you multiply the first ratio 3: 5 by 5, the ratio 15: 25 can be obtained.
What is equivalent ratio?
Equivalent ratios are those that can be simplified or reduced to the same value. In other words, two ratios are considered equivalent if one can be expressed as a multiple of the other. Some examples of equivalent ratios are 1:2 and 4:8, 3:5 and 12:20, 9:4 and 18:8, etc.
What is the Definition of Equivalent Ratios?
Two or more ratios are equivalent if they have the same value when reduced to the lowest form. For example, 1:2, 2:4, 4:8 are equivalent ratios. All three ratios have the same value 1:2 when reduced to the simplest form.
How are Proportional Quantities Described by Equivalent Ratios?
A set of equivalent ratios represent proportional quantities. For example, we can say that 2:3 and 4:6 are in proportion. Proportion is nothing but the equality of ratios. This is how proportional quantities can be described by equivalent ratios.
How to Find Missing Numbers in Equivalent Ratios?
To find missing values in equivalent ratios, we have to first find the multiplying factor by equating the values of antecedents and consequents, and then we find the missing number. For example, if it is given that 1:4 and x:16 are equivalent ratios and we have to ding the missing value x. Here, the values of consequents are known to us, i.e 4 and 16. We multiply 4 by 4 to get 16. So, 4 us the multiplying factor in this case. So, we will multiply the antecedent of the first ratio 1 by 4 to find x. Therefore, the value of x is 4 such that 1:4 and 4:16 are equivalent ratios.
How to find unit rate?
Unit rates and equivalent ratios are related to each other. Unit rates can be found by using the concept of equivalent ratios. For example, if it is given that a car covers 70 miles in 2 hours. In the ratio, it can be expressed as 70:2. We can find the unit rate (distance covered in 1 hour), by finding the equivalent ratio of 70:2 such that 2 will be reduced to 1. For that, we need to multiply both the terms by 2 to get 35:1. This is the required unit rate. Similarly, we can also find equivalent ratios from a given unit rate by multiplying the terms with a natural number. This is how unit rates and equivalent ratios are related to each other.
What is the required value of x in 2:3?
Therefore, 2:3 and 10:15 are equivalent ratios, and the required value of x is 15.
What is the formula for 2:3?
Solution: It is given that 2:3 = 10:x. It means that we have to multiply 2:3 with a natural number such that the answer will be of form 10:x, where x is any natural number. Let us look at the antecedents 2 and 10. If we multiply 2 by 5, we get 10. It means we will have to multiply 3 with 5.
How to find equivalent ratios?
As we previously mentioned, Equivalent Ratios are two ratios that express the same relationship between numbers. The Equivalent Ratio Calculator provides a table of equivalent ratios that have the same relationship between each other and directly with the ratio you enter into the calculator. We will look at how to calculate equivalent ratios shortly, first lets look at how to use the free online equivalent ratio calculator: 1 Enter a Ratio into the equivalent ratio calculator, for example, you could enter 7:25 2 Select the number of equivalent ratios that you would like to see in the table of results 3 The equivalent ratio calculator will calculate as you type and produce a lis of equivalent ratios in a table below the calculator 4 [Optional] Print or email the Table of Equivalent Ratios for later use
What is a ratio?
A ratio is a direct comparison of one number against another. A ratio calculator looks to define the relationship that compares between those two numbers
What is the importance of ensuring the right ratio of students to teachers?
Education: ensuring the right ratio of students to teachers is key for effective learning. Class sizes in terms of the ratio of pupils to a teacher is a common ratio concern.
Where are ratios used?
Ratios are used everywhere, from cooking with your favourite recipes to building housing, here are some common applications of ratios in everyday life:
Is there a formula for equivalent ratios?
As equivalent ratios have the same value there is technically no equivalent ratio formula but the following equivalent ratio formula will help you with the manual math calculations.
How to get equivalent ratio?
Remember, you can, to get an equivalent ratio you can multiply or divide these numbers by the same number. So, to get from 16 to eight, you could do that as, well, we just divided by two. And to go from 12 to six, you also divide by two. So this actually is an equivalent ratio. I’ll circle that in.
How to go from 16 to 4?
Well, to go from 16 to four, we would have to divide by four. And to go from 12 to three, we are going to divide by four as well. So we’re dividing by the same thing, each of these numbers. So, this is also going to be an equivalent ratio.
How to convert a ratio to fractions?
To convert a part-to-part ratio to fractions: Add the ratio terms to get the whole. Use this as the denominator. Convert the ratio into fractions. Each ratio term becomes a numerator in a fraction. Therefore, in the part-to-part ratio 1 : 2, 1 is 1/3 of the whole and 2 is 2/3 of the whole.
What is part to part ratio?
A part-to-part ratio states the proportion of the parts in relation to each other. The sum of the parts makes up the whole. The ratio 1 : 2 is read as “1 to 2.” This means of the whole of 3, there is a part worth 1 and another part worth 2.
When to simplify ratios?
Simplify ratios or create an equivalent ratio when one side of the ratio is empty.
How many characters can a ratio calculator accept?
This ratio calculator will accept integers, decimals and scientific e notation with a limit of 15 characters.
What is equivalent ratio?
A ratio in which there is a relationship between the first and the second term, which is got either by multiplying or dividing the terms of a ratio by a number other than zero is called an equivalent ratio. For example, when the first and the second terms of the ratio 1:3 are multiplied by 3, we get, (1 × 3) : (3 × 3) or 3: 9. Here, 1:3 and 3:9 are equivalent ratios. Similarly, when both the terms of the ratio 20:10, are divided by 10, gives the ratio as 2:1. Here, 20:10 and 2:1 are equivalent ratios. An infinite number of equivalent ratios of any given ratio can be found by multiplying the antecedent and the consequent by a positive integer.
How to write ratios?
A ratio can be written by separating the two quantities using a colon (:) or it can be written in the fractional form. For example, if there are 4 apples and 8 melons, then the ratio of apples to melons can be written as 4:8 or 4/8, which can be further simplified as 1:2.
What is simplified ratio?
Simplify the ratios further, if possible. The simplified ratio is the final result.
What is part to whole ratio?
One is part to part ratio and the other is part to whole ratio. The part-to-part ratio denotes how two distinct entities or groups are related . For example, the ratio of boys to girls in a class is 12: 15, whereas, the part-to-whole ratio denotes the relationship between a specific group to a whole lot. For example, out of every 10 people, 5 of them like to read books. Therefore, the part to the whole ratio is 5: 10, which means every 5 people from 10 people like to read books.
What is the ratio of marks?
Ratio can be defined as the relationship or comparison between two numbers of the same unit to check how bigger is one number than the other one. For example, if the number of marks scored in a test is 7 out of 10, then the ratio of marks obtained to the total number of marks is written as 7:10.
What is the desired ratio of boys to girls?
Therefore, the desired ratio is, (Number of boys: Number of girls), which is 27:23.
How to measure the number of glasses of water a person drinks in a day?
For example, to know the number of glasses of water a person drinks in a day, we can measure it by using a ratio scale, with the following options. They are 1 – 2, 3 – 4, 5 – 6, 7 – 8.
Definition of Ratio
Definition of Equivalent Ratio
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A ratio can be represented as a fraction. The concept of an equivalent ratio is similar to the concept of equivalent fractions. A ratio that we get either by multiplying or dividing by the same number, other than zero, to the antecedent and the consequent of a ratio is called an equivalent ratio. To get a ratio equivalent to a given ratio, we first…
Examples of Equivalent Ratio
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Let us see some examples of equivalent ratios. For example, when the first and the second term of the ratio \(2:5\) are multiplied by \(2,\) we get \((2×2):(5×2)\) or \(4:10.\) Here, \(2:5\) and \(4:10\) are equivalent ratios. Similarly, when both the terms of the ratio \(4:10,\) are divided by \(2,\) it gives the ratio as \(2:5.\) If we multiply both the terms of \(1:6\) by \(100,\) we will get, \(…
Methods to Find The Equivalent Ratios
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To find the equivalent fractions, first, we should represent the given ratios in fraction form and then simplify them to see whether they are equivalent ratios or not. Simplification of the ratios can be done till both the antecedent and the consequent are still be whole numbers. There are some different methods to check if the given ratios are equivalent or not. 1. Making the consequents t…
Making The Consequents of The Ratios The Same
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The consequents of the ratios \(3:5\) and \(6:10\) are \(5\) and \(10.\) To make the process simple, we will represent it in fraction form that is \(\frac{3}{5}\) and \(\frac{6}{10}.\) The least common multiple (LCM) of the denominators \(5\) and \(10\) is \(10\). Now make the denominators of both fractions \(10,\) by multiplying them with suitable numbers. \( \Rightarro…
Finding The Decimal Form of Both The Ratios
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In this method, we find the decimal form of both the ratios after converting it to fraction form by actually dividing them. We have to check whether \(\frac{3}{5}\) and \(\frac{6}{10}\) have the same value. So, first, find the decimal value of each ratio. \( \Rightarrow \frac{3}{5} = 0.6\) \( \Rightarrow \frac{6}{{10}} = 0.6\) The decimal values of both the fractions are the same, i.e., \(0.…
Solved Examples – Equivalent Ratios
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Q.1. Are the ratios \(2:7\) and \(4:12\) equivalent? Ans: Given ratios are \(2:7\) and \(4:12.\) The fraction form of the given ratios are \(\frac{2}{7}\) and \(\frac{4}{12}\). Then, we will cross multiply and get, \(2 \times 12\,{\rm{\& }}\,7 \times 4\) \( \Rightarrow 24 \ne 28\) Therefore, \(2:7\) and \(4:12\) are not equivalent ratios. Q.2. Are the ratios \(1:6\) and \(2:12\) equivalent? …
Summary
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In this article, we learnt in detail about ratios, equivalent ratios, and how to check the equivalent ratios. We have learned that to find the equivalent ratios of a given ratio, we need to write the fraction form of it. Then, we will multiply the numerator and the denominator of a fraction by the same non-zero number. The equivalent ratio of a given ratio does not change the value of the rat…
Frequently Asked Questions (FAQ) – Equivalent Ratios
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The most frequently asked queries about equivalent ratios are answered below: We hope this detailed article on equivalent ratios has helped you in your studies. If you have any doubt or queries, you can comment down below and we will be more than happy to help you.