# How to find equivalent fractions

How to Find Equivalent Fractions

1. Calculate each fraction as a decimal number.
2. Reduce the fractions to their lowest terms.
3. Set the two fractions equal to one another.
4. Introduce a variable. Since cross multiplication is the easiest way to determine equivalent…
5. Cross multiply the two fractions. For equivalency problems that require the quadratic formula,…

To find the equivalent fractions for any given fraction, multiply the numerator and the denominator by the same number. For example, to find an equivalent fraction of 3/4, multiply the numerator 3 and the denominator 4 by the same number, say, 2. Thus, 6/8 is an equivalent fraction of 3/4.

## How can you tell whether a fraction is equivalent?

Equivalent fractions represent the same proportion of the whole. For each fraction, we can find its equivalent fraction by multiplying both numerator and denominator with the same number. For example, we have to find the third equivalent fraction of ⅔; then we have to multiply 2/3 by 3/3. Hence, 2/3 x (3/3) = 6/9, is the fraction equivalent

## What is strategy for finding equivalent fractions?

Summary:

• You can make equivalent fractions by multiplying or dividing both top and bottom by the same amount.
• You only multiply or divide, never add or subtract, to get an equivalent fraction.
• Only divide when the top and bottom stay as whole numbers.

## What property do you use when you find equivalent fractions?

To find equivalent fractions, multiply or divide the numerator and the denominator of a fraction by any number, as long as it’s the same on top and bottom. If you divide the original fraction, the result must have whole numbers in the numerator and denominator to be valid. To check the result, use cross-multiplication.

## How do you create an equivalent fraction?

• Equivalent fractions are two fractions that are written differently but have the same size.
• The two fractions: 1 / 3 and 2 / 6 are equivalent fractions.
• We can multiply the numerator The number on the top of the fraction, above the dividing line of ‘1’ by two to get a new numerator of ‘2’.

More items…

## What is equivalent fractions with example?

Equivalent fractions are fractions that represent the same value, even though they look different. For example, if you have a cake, cut it into two equal pieces, and eat one of them, you will have eaten half the cake.

## What is 3/5 equivalent to as a fraction?

So, 3/5 = 6/10 = 9/15 = 12/20.

## What is 2 4 equivalent to as a fraction?

Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value. For example, 2/4 and 3/6 are equivalent fractions, because they both are equal to the ½.

## What is 1/4 equal to as a fraction?

2/8Answer: The fractions equivalent to 1/4 are 2/8, 3/12, 4/16, etc. Equivalent fractions have the same value in their reduced form.

## What are three fractions that are equivalent to 3 5?

Answer: The fractions equivalent to 3/5 are 6/10, 9/15, 12/20, etc. Equivalent fractions have the same value in the reduced form.

## How do you find equivalent fractions for kids?

2:515:15Equivalent Fractions | Math for 3rd Grade | Kids Academy – YouTubeYouTubeStart of suggested clipEnd of suggested clipThere is one two three four five six pieces shaded in which means six is the correct numerator twoMoreThere is one two three four five six pieces shaded in which means six is the correct numerator two thirds is equivalent to six ninths.

## What are the equivalent fractions for 5 6?

Equivalent fractions of 5/6 : 10/12 , 15/18 , 20/24 , 25/

## What are Equivalent Fractions?

Equivalent fractions state that two or more than two fractions are said to be equal if both results are the same fraction after simplification. Let us say, a/b and c/d are two fractions, after the simplification of these fractions, both result in equivalent fractions, say e/f, then they are equal to each other.

## Why are fractions the same?

These fractions are actually the same because when we multiply or divide both the numerator and the denominator by the same number, the value of the fraction actually doesn’t change. Therefore, equivalent fractions, when reduced to their simplified value, will all be the same. For example, consider the fraction 1/5.

## What happens when two fractions are given?

If two fractions are given, we can simply find their decimals to check if they are equivalent fractions.

## How to make the denominator equal to 9?

Multiply 2/3 by 3/3 to make the denominator equal to 9.

## Is a fraction equivalent to a decimal?

Since, both the fractions results in the same decimal, thus they are equivalent.

## Do denominators have a common multiple?

The answer to this question is that, as the numerator and denominator are not co-prime numbers, therefore they have a common multiple, which on division gives exactly the same value.

## Is 10/12 a fraction?

But, ⅚ and 10/12 are equivalent fractions because of 10/12 = ⅚.

## Why are fractions the same?

Why are they the same? Because when you multiply or divide both the top and bottom by the same number, the fraction keeps it’s value.

## Can you multiply to get an equivalent fraction?

You only multiply or divide, never add or subtract, to get an equivalent fraction.

## What are Equivalent Fractions?

Two or more fractions are said to be equivalent if they are equal to the same fraction when simplified. For example, the equivalent fractions of 1/5 are 5/25, 6/30, and 4/20, which on simplification, result in the same fraction, that is, 1/5.

## How to Determine if Two Fractions are Equivalent?

We need to simplify the given fractions to find whether they are equivalent or not. Simplification to get equivalent numbers can be done to a point where both the numerator and denominator should still be whole numbers. There are various methods to identify if the given fractions are equivalent. Some of them are:

## How to write 6/8 as an equivalent fraction?

In order to write the equivalent fraction for 6/8, let us multiply the numerator and denominator by 2 and we will get (6 × 2)/ (8 × 2) = 12/16. Therefore, 6/8 and 12/16 are equivalent fractions. Now, let us get another equivalent fraction for 6/8, by dividing it by a common number, say, 2. After dividing the numerator and denominator by 2 and we will get (6 ÷ 2)/ (8 ÷ 2) = 3/4. Therefore, 6/8 and 3/4 are equivalent fractions.

## How to multiply the numerator and the denominator?

Multiply the numerator and the denominator by the same number.

## What is the LCM of 2/6 and 3/9?

The denominators of the fractions, 2/6 and 3/9 are 6 and 9. The LCM of the denominators 6 and 9 is 18. Let us make the denominators of both fractions 18, by multiplying them with suitable numbers.

## Is a decimal the same as a fraction?

The decimal values of both the fractions are the same and hence, they are equivalent.

## Do equivalent fractions get reduced to the same fraction?

All equivalent fractions get reduced to the same fraction in their simplest form as seen in the above example. Explore the given lesson to get a better idea of how to find equivalent fractions and how to check if the given fractions are equivalent.

## How to make a fraction equivalent?

Multiply both the numerator and denominator of a fraction by the same whole number. As long as you multiply both top and bottom of the fraction by the same number, you won’t change the value of the fraction , and you’ll create an equivalent fraction.

## What are Equivalent Fractions?

Equivalent fractions are fractions with different numbers representing the same part of a whole. They have different numerators and denominators, but their fractional values are the same.

## What is half of a fraction?

For example, think about the fraction 1/2. It means half of something. You can also say that 6/12 is half, and that 50/100 is half. They represent the same part of the whole. These equivalent fractions contain different numbers but they mean the same thing: 1/2 = 6/12 = 50/100

## What Is An Equivalent Fraction?

Equivalent fractions are fractions with different numerators and denominators that are still equal in value. They can be found by multiplying or dividing the numerator and denominator by whole numbers. An example would be 1/2 is equivalent to 2/4, which represents equal parts of an overall whole.

## How to find equivalent fractions of 2/3?

Looking at the fraction of 2/3 we can see that by multiplying both the numerator and denominator by 2 we end up with 4/6. If we continue that thought, we can multiply 4/6 by 2 and get 8/12. This proves that all 3 fractions above are equivalent.

## What happens when you compare 2/3 to 4/6?

If we look at the fraction 2/3 and compare it to 4/6 you will notice that the numerator and denominator are exactly doubled.

## Why is it important to understand equivalent fractions?

Understanding equivalent fractions is crucial for being able to complete other math computations such as adding and subtracting fractions.

## When you have a numerator and a denominator with the same number, it is the same?

This concept is important for creating equivalent fractions. When you have a numerator and a denominator with the same number, it is the same thing as being equivalent to 1.

## What does the denominator show?

Your denominator always shows the total pieces of the whole.

## What letter starts with the numerator?

Numerator starts with the letter N. Think about the direction north – which on a compass is pointing up top.

## Finding Equivalent Fractions

We find equivalent fractions by multiplying or dividing both the numerator and the denominator by the same number.

## Find the Equivalent Fraction

There are times when we need to find an equivalent fraction out of some options.

## Find the Missing Numerator

In some examples, we would need to find the numerator of an equivalent fraction. 🧐

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