# Equivalent ratios.

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?

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.

## How to identify equivalent ratios?

Methods to Find the Equivalent Ratios

1. Making the consequents the same
2. Finding the decimal form of both the ratios
3. Cross multiplication method
4. 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

More items…

## 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 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 are the consequents of 3:5 and 6:10?

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.

## 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.

## 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.

## What is equivalent ratio?

Equivalent ratios are ratios that describe the same rate or make the same comparison. They are a result of the fact that ratios are scalable, meaning that they can be multiplied or divided by a constant to yield the same relationship, expressed in larger or smaller quantities. For example, there are 2 circles and 3 squares in the figure below.

## How are equivalent ratios related to proportions?

Equivalent ratios are related to proportions in that proportions are a statement that two ratios are equal, making the ratios involved in any proportion, equivalent ratios.

## What is the ratio of circles to squares?

The ratio of circles to squares can be written as 2:3. If there were twice as many squares, and twice as many circles, the ratio of circles to squares could be written as 2 (2):3 (2) = 4:6. Although there are more circles and squares, the ratio of circles to squares remains constant, so 2:3 and 4:6 are equivalent ratios.

## Is a ratio equivalent to a factor of 2?

Since either of the ratios can be scaled by a factor of 2 to equal the other, they are equivalent ratios.

## How to make equivalent ratios?

We can create equivalent ratios by multiplying or dividing both the numerator and denominator of a given ratio by the same number. To unlock this lesson you must be a Study.com Member.

## When we multiply, we create equivalent ratios?

So when we’re dealing with a ratio, if we’re multiplying (or dividing) both parts of it by the same number, we’re creating equivalent ratios.

## What happens when you multiply the same ratio?

So when you multiply both parts of a ratio by the same number, you make an equivalent ratio. All we’re really doing is making equivalent fractions, which are two different fractions that are equal. We could, in fact, multiply the numerator and denominator by any number and get an equivalent fraction.

## Why are ratios 60/1 and 120/2 equivalent?

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.

## How far did Michelle run in the new ratio?

The distance Michelle ran in this new ratio is 3 meters. So when Johnny had run 1 meter, Michelle had run 3 meters. Look out, Johnny!

## What is a ratio in driving?

A ratio is a relationship between two numbers (usually involving some kind of measurement). For example, when people drive, they travel at a certain speed. We usually refer to that speed as miles per hour. That’s a ratio because it’s a relationship between distance and time. So if you’re driving 60 mph, that means that for each hour you drive, …

## Is 3/20 a reduced form of 9/60?

1. Yes, the 3/20 is a reduced form of 9/60

## What Are Equivalent Ratios?

A ratio is a mathematical way of comparing two quantities. The first quantity to be compared is written first, and the second quantity to be compared is written second. For example, at 8 AM, there are 5 red cars and 2 blue cars in a parking lot. In this case, the ratio of red cars to blue cars is 5 to 2. To express this in ratio form, it can be written in two different ways, 5:2 or 5/2. The ratio of blue cars to red cars is 2 to 5, which can be written 2:5 or 2/5.

## Why are ratios considered equivalent?

The ratios are considered to be equivalent because the numerator and denominator are changed in proportion. Equivalent ratios are multiples or factors of each other. Two ratios are equivalent if: When multiplying the numerator and denominator of one ratio by the same number you get the other ratio.

## How to find the second ratio of a number?

Multiply OR divide the numerator and denominator by the same number to get the second ratio.

## How to find equivalent ratio?

To find an equivalent ratio, multiply the numerator and denominator of the ratio by the same number OR divide the numerator and denominator of the ratio by the same number.

## Why are 5/2 and 10/3 not equivalent?

The ratios 5/2 and 10/3 are NOT equivalent because you cannot derive the second ratio by multiplying both numbers of the first ratio by the name number. In this case the ratios did NOT change in proportion.

## What is the ratio of red cars to blue cars?

At 5 PM, there are 10 red cars and 4 blue cars, so the ratio of red cars to blue cars is 10:4 or 10/4. Comparing this to the ratio in the morning, we can say that in mathematical terms the ratio 5/2 and 10/4 are equivalent ratios. This is because the values of the ratios are equal. You can derive 10/4 from 5/2 by dividing both numbers by 2. And you can derive 5/2 from 10/4 by multiplying both numbers by 2. In this case the ratios changed in proportion, as reflected in the following equivalent ratios table..

## When the numerator and denominator of the first ratio are multiplied by the same number, you?

In mathematical terms, we can find the following pattern: when the numerator and denominator of the first ratio are multiplied by the same number 3, you get the second ratio. And when the numerator and denominator of the second ratio are divided by the same number 3, you get the first ratio.

## 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 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.

## 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. To get a ratio equivalent to a given ratio, we first…

• 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, $$… See more on embibe.com ## 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. There are some different methods to check if the given ratios are equivalent or not. 1. Making the consequents t… See more on embibe.com ## Making The Consequents of The Ratios The Same • The consequents of the ratios \(3:5$$ and $$6:10$$ are $$5$$ and $$10.$$ To make the process simple, we will represent it in fraction form that is $$\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… See more on embibe.com ## 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 \(\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.… See more on embibe.com ## Solved Examples – Equivalent Ratios • 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? …

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## 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. The equivalent ratio of a given ratio does not change the value of the rat…

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## Frequently Asked Questions (FAQ) – Equivalent Ratios

• 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.

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