# Equivalent ratios examples

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.

The examples of equivalent ratios are:
• 2 : 4 :: 4 : 8.
• 10 : 20 :: 20 :40.
• 1 : 2 :: 2 : 4.
• 0.5 : 1 :: 2:4.

## How do you find the 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. It is the same process as finding equivalent fractions.

## What are the three equivalent ratios?

= 6 : 16 is the first equivalent ratio. = 12 : 32 is the second equivalent ratio. = 18 : 48 is the third equivalent ratio. Therefore, the three equivalent ratios of 3 : 8 are 6 : 16, 12 : 32 and 18 : 48.

## What is a equivalent example?

The definition of equivalent is something that is essentially the same or equal to something else. An example of equivalent is (2+2) and the number 4. Since 2+2= 4, these two things are equivalent. To make equivalent to; to equal.

## What is ratio What are equivalent ratios?

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 an equivalent ratio for 3 to 5?

The given ratios 3: 5 and 15: 25 are equal.

## What is the ratio of 6 to 15?

Since the simplest form of the fraction 6/15 is 2/5, the simplest form of the ratio 6:15 is also 2:5.

## What is a equivalent to 2 5?

Equivalent fractions of 2/5 : 4/10 , 6/15 , 8/20 , 10/ Equivalent fractions of 3/5 : 6/10 , 9/15 , 12/20 , 15/

## What is the equivalent of 8 12?

2/32/3 = 2×4 / 3×4 = 8/12 which is an equivalent fraction of 2/3.

## What is the equivalent of 2 12?

Equivalent Fractions ChartFractionEquivalent Fractions3/56/1036/604/58/1048/601/62/1212/725/610/1260/7218 more rows

## 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 7 to 10?

Ratio of 7 to 10 (7:10) A ratio of 7 to 10 can be written as 7 to 10, 7:10, or 7/10. Furthermore, 7 and 10 can be the quantity or measurement of anything, such as students, fruit, weights, heights, speed and so on.

## 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.

## Are the ratios 18 12 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 are equivalent ratios 6th grade?

Equivalent ratios have the same value. To determine whether two ratios are equivalent, write them as fractions. If the fractions are equal, the ratios are equivalent.

## What ratio is 2/3 equivalent to?

Answer: 4/6, 6/9, 8/12, 10/15 … are equivalent to 2/3.

## Why are 1/2 and 2/4 called equivalent fractions?

When fractions have different numbers in them, but have the same value, they are called equivalent fractions. Let’s take a look at a simple example of equivalent fractions: the fractions ½ and 2/4. These fractions have the same value, but use different numbers.

## 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.

## 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 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.

## 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.

## 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.

## 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.

## 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 know, two or more ratios are equivalent if their simplified forms are the same. Thus, to find a ratio equivalent to another we have to multiply the two quantities, by the same number.

## What are the two equivalent ratios of 4:5?

Hence, the two equivalent ratios of 4 : 5 are 8 : 10 and 12 : 15.

## What is ratio in math?

In Mathematics, a ratio compares two quantities named as antecedent and consequent, by the means of division. For example, when we cook food, then each ingredient has to be added in a ratio. Thus, we can say, a ratio is used to express one quantity as a fraction of another quantity.

## What is the symbol for ratio?

A ratio is usually expressed with the symbol ‘: ’. The comparison or simplified form of two quantities of the same kind is referred to as ratio.

## What is the simplest form of 14:21?

The simplest form of 14:21 is ⅔.

## When the comparison of two different ratios is same, the such ratios are called?

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.

## Can a ratio be expressed as a fraction?

We can also express the ratio as a fraction. If a:b, is a ratio, then a/b is its fraction form. Thus, we can easily compare two or more equivalent ratios in the form of equivalent fractions.

## 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

## Definition Of Equivalent Ratios

If two ratios have the same value when simplified, then they are called Equivalent Ratios.

Equivalent ratios can be obtained by multiplying or dividing both sides by the same non-zero number.

## Example of Equivalent Ratios

1/3 and 2/6 are equivalent ratios since they represent the same fraction.
The two ratios 8 : 24 and 4 : 12 are equivalent.
There are 10 dolls for every 40 children in a preschool. Then the ratio of the number of children to that of the dolls = 40:10 = 4:1

## 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. The ratio between two unlik…

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## 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 represent the ratio in fraction form. Then, …

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## 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 $$2:5.$$ If we multiply b…

## 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…

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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… 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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