- Write both the ratios in fractional form ( numerator over denominator ).
- Do the cross multiplication. Multiply 10 by 24 and 8 by 30.
- If both products are equal, it means that they are equivalent ratios. Here 10 × 24 = 8 × 30 = 240. Therefore, they are equivalent ratios.
How can you determine if ratios are equivalent?
Equivalent ratios are just like equivalent fractions. If two ratios have the same value, then they are equivalent, even though they may look very different! In this tutorial, take a look at equivalent ratios and learn how to tell if you have equi
How can you tell if two ratios are equivalent?
How can you tell if two ratios are equivalent? By multiplying each ratio by the second number of the other ratio, you can determine if they are equivalent. Multiply both numbers in the first ratio by the second number of the second ratio. For example, if the ratios are 3:5 and 9:15, multiply 3 by 15 and 5 by 15 to get 45:75.
How do you write equivalent ratios?
n = numerator. d = denominator. a = multiplier. In our equivalent ratio formula, we can see that by multiplying both the numerator and denominator by the same amount (a) that we maintain the relationship with all equivalent ratio and our initial ratio from which we started the calculation.
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 the ratio 2/3 equivalent to?
Answer: 4/6, 6/9, 8/12, 10/15 … are equivalent to 2/3. All those fractions obtained by multiplying both the numerator and denominator of 2/3 by the same number are equivalent to 2/3.
What are 3 ratios that are equivalent?
We can make a string of equivalent ratios by continuing to scale up or scale down. 1 : 3 = 2 : 6 = 3 : 9 = 4 : 12 = 5 : 15 = 6 : 18 = 7 : 21…. All of these ratios show the same relationship. Simplifying ratios to the simplest form can be helpful when solving problems that deal with ratios.
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 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’s the equivalent ratio of 6 to 2?
Since the simplest form of the fraction 6/2 is 3/1, the simplest form of the ratio 6:2 is also 3:1.
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 6 to 4?
Ratio of 6 to 4 (6:4) A ratio of 6 to 4 can be written as 6 to 4, 6:4, or 6/4. Furthermore, 6 and 4 can be the quantity or measurement of anything, such as students, fruit, weights, heights, speed and so on. A ratio of 6 to 4 simply means that for every 6 of something, there are 4 of something else, with a total of 10.
What is the ratio of 4 is to 8?
Since the simplest form of the fraction 4/8 is 1/2, the simplest form of the ratio 4:8 is also 1:2.
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 an equivalent ratio for 3 to 5?
The given ratios 3: 5 and 15: 25 are equal.
What is a ratio equivalent to 4 5?
Answer: The fractions equivalent to 4/5 are 8/10, 12/15,16/20, etc. Equivalent fractions have the same value in the reduced form.
How do you solve equivalent ratios word problems?
0:042:40How To Solve Equivalent Ratio Word Problems (finding how many boys …YouTubeStart of suggested clipEnd of suggested clipSo if we look at the question we are given that there’s 20 boys so we’re going to make an equivalentMoreSo if we look at the question we are given that there’s 20 boys so we’re going to make an equivalent ratio underneath and put the 20 boys underneath the boys side of the ratio which is on the left.
What are examples of equivalent ratios?
Equivalent ratios are the ratios that are the same when we compare them. Two or more ratios can be compared with each other to check whether they are equivalent or not. For example, 1:2 and 2:4 are equivalent ratios.
Are 3/5 and 1:2 20 ratios the same?
Equivalent fractions of 3/5 : 6/10 , 9/15 , 12/20 , 15/ Equivalent fractions of 4/5 : 8/10 , 12/15 , 16/20 , 20/
Are the ratios 18 1:2 and 3 2 equivalent?
Whenever the simplified form of two ratios are equal, then we can say that the ratios are equivalent ratios. For example, 6 : 4 and 18 : 12 are equivalent ratios, because the simplified form of 6 : 4 is 3 : 2 and the simplified form of 18 : 12 is also 3 : 2.
What is an equivalent ratio for 3 to 5?
The given ratios 3: 5 and 15: 25 are equal.
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.
Related Articles on Equivalent Ratios
Check these interesting articles related to the concept 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.
How do you Find the Equivalent Ratios?
To find equivalent ratios of a given ratio, we either multiply the terms or divide the terms by a natural number. If the terms are co-prime (do not have any common factor other than 1), then we avoid using division operation and multiplying the terms by any natural number.
How are Unit Rates and Equivalent Ratios Related?
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.
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.
Definition of Ratio
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.
Definition of Equivalent Ratio
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.
Examples of Equivalent Ratio
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.
Methods to Find the Equivalent Ratios
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.
Making the Consequents of the Ratios the Same
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 3 5 and 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.
Finding the Decimal Form of Both the Ratios
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 3 5 and 6 10 have the same value.
So, first, find the decimal value of each ratio.
⇒ 3 5 = 0.6
⇒ 6 10 = 0.6
The decimal values of both the fractions are the same, i.e., 0.6.
Therefore, 3: 5 and 6: 10 are equivalent ratios..
Summary
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.
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. The ratios are expressed using the notation “:” or “/”.
Check whether the given ratios are equal?
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.
How to Calculate 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.
How to Manually Calculate Equivalent Ratios
When calculating equivalent ratios it is important to understand that mathematically, you are expressing the same relationship, simply in different amounts. for example, if you have 10 sweets to share with 4 friends, this is the same and having 5 sweets to share with 2 friends in ratio terms.
More Good Ratio Calculators
If you found the Equivalent Ratio Calculator, you will probably find the following ratio calculators useful:
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
Where are Ratio Calculations Used?
Ratios are used everywhere, from cooking with your favourite recipes to building housing, here are some common applications of ratios in everyday life:
How to Calculate Ratios
When calculating equivalent ratios you must multiply or divide both numbers in the ratio. This keeps both numbers in direct relation to each other. So, a ratio of 2/3 has an equivalent ratio of 4/6: in this ratio calculation we simply multiplied both 2 and 3 by 2.
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 represent the ratio in fraction form. Then, …
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 b…
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.