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in what situation can you only use multiplication to find equivalent fractions to a given fraction

by Miss Carmella Abernathy Jr. Published 8 months ago Updated 2 months ago

Any given fraction has an infinite number of equivalent fractions. You can multiply the numerator and denominator by any whole number, no matter how large or small to obtain an equivalent fraction. 2 Divide the numerator and denominator by the same number.

Full Answer

How do you find equivalent fractions?

  • To find an equivalent fraction to 1 / 3 , we must multiply both the numerator and denominator by the same number.
  • In this example, we chose to multiply by 2.
  • 1 / 3 and 2 / 6 are equivalent fractions.
  • We can see that they take up the same fraction of the shaded space in the shape shown.

How to divide and multiply fractions?

There are 3 Simple Steps to Divide Fractions:

  1. Turn the second fraction (the one you want to divide by) upside down (this is now a reciprocal ).
  2. Multiply the first fraction by that reciprocal
  3. Simplify the fraction (if needed)

How do you multiply multiple fractions?

There are 3 simple steps to multiply fractions

  1. Multiply the top numbers (the numerators ).
  2. Multiply the bottom numbers (the denominators ).
  3. Simplify the fraction if needed.

How do you put a mixed number into a fraction?

Mixed Fractions

  • Examples. See how each example is made up of a whole number and a proper fraction together? ...
  • Names
  • Three Types of Fractions
  • Mixed Fractions or Improper Fractions. We can use either an improper fraction or a mixed fraction to show the same amount.
  • Converting Improper Fractions to Mixed Fractions. ...
  • Converting Mixed Fractions to Improper Fractions. ...

How can you use multiplication to find equivalent fractions?

1:424:38Finding Equivalent Fractions Using Multiplication - YouTubeYouTubeStart of suggested clipEnd of suggested clipWe multiply the numerator. And denominator by the same number we'll take 1/3. And multiply it byMoreWe multiply the numerator. And denominator by the same number we'll take 1/3. And multiply it by something like 2 over 2 what is this equal well 1 times 2 is 2 and 3 times 2 is 6.

Why do we multiply to find equivalent fractions?

9:3230:47(Calculate & Find Equivalent Fractions) - Part 1 - YouTubeYouTubeStart of suggested clipEnd of suggested clipThe the numerator and the denominator of this fraction by two and we get a new fraction. Called two-MoreThe the numerator and the denominator of this fraction by two and we get a new fraction. Called two-fourths and it's exactly the same amount that one-half also represents.

Do you use multiplication and division to find an equivalent fraction?

You can multiply or divide to find an equivalent fraction. Adding or subtracting does not work for finding an equivalent fraction. If you multiply or divide by the top of the fraction, you must do the same to the bottom. Use cross multiplication to determine if two fractions are equivalent.

How do you find out if a fraction is equivalent to another fraction?

0:031:40How to Tell Which Fraction Is Equivalent to Another : Fractions 101YouTubeStart of suggested clipEnd of suggested clipThe most simple way to do this is actually using cross multiplication. And. Seeing if the numbers onMoreThe most simple way to do this is actually using cross multiplication. And. Seeing if the numbers on both sides are equal if they are they're equivalent if they're not then they're not equivalent.

What does equivalent fractions mean?

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.

How would you use multiplication to identify a fraction that is equivalent to 4 6?

2/3, or two out of three, is another fraction equivalent to both 4/6 and 8/12. The three fractions 2/3, 4/6 and 8/12 are shown below respectively in a fraction wall to demonstrate their equivalence.

Why can you multiply the numerator and denominator by the same number to make an equivalent fraction?

If you multiply both the numerator and denominator of a fraction by the same non-zero number, the fraction remains unchanged in value. Therefore, equivalent fractions can be created by multiplying (or dividing) the numerator and denominator by the same number.

How do you do equivalent fractions for 4th grade?

5:139:134th Grade: Equivalent Fractions - YouTubeYouTubeStart of suggested clipEnd of suggested clip3. So 7 21 is equal to 1/3 so there are two ways to find equivalent fractions you can eitherMore3. So 7 21 is equal to 1/3 so there are two ways to find equivalent fractions you can either multiply both the numerator and the denominator. By the same number or you can divide the numerator.

How do you find equivalent fractions 5th grade?

14:2615:58Equivalent Fractions - 5th Grade Math - YouTubeYouTubeStart of suggested clipEnd of suggested clipIf I multiply by the top by 4 in the bottom by 4 on the top I'll get 8 and on the bottom I will getMoreIf I multiply by the top by 4 in the bottom by 4 on the top I'll get 8 and on the bottom I will get 12. So I look for 8. 12.

How do you find equivalent fractions with denominators?

How to Find Equivalent Fractions. 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.

How to Find Equivalent Fractions Using Multiplication

When given an original fraction and asked to find the numerator of an equivalent fraction with a different denominator, follow the steps below:

Equivalent Fraction Terminology

Equivalent Fraction: Equivalent fractions are two fractions whose ratio is equal even if the numerators and denominators are not equal to each other. A simple example is {eq}\dfrac {1} {2} = \dfrac {2} {4} {/eq} which are both different expressions of one-half.

Example Problem 1: Finding Equivalent Fractions

Find the numerator in the second fraction that makes the two fractions equivalent:

Example Problem 2: Finding Equivalent Fractions

Find the numerator in the second fraction that makes the two fractions equivalent:

How to find equivalency of fractions?

For simple fractions without variables, you can simply express each fraction as a decimal number to determine equivalency. Since every fraction is actually a division problem to begin with, this is the simplest way to determine equivalency.

What is the difference between two fractions that are different but equivalent?

In other words, multiplying the numerator and denominator of a fraction by the same number will produce an equivalent fraction.

How to convert fractions to equivalent forms?

Converting fractions to equivalent forms is actually a form of multiplying them by 1. In converting 1/2 to 2/4, multiplying the numerator and denominator by 2 is the same as multiplying 1/2 by 2/2, which equals 1.

How does multiplication and division work?

Multiplication and division work for obtaining equivalent fractions because multiplying and dividing by fractional forms of the number 1 (2/2, 3/3, etc.) give answers that are equivalent to the starting fraction by definition. Addition and subtraction don't allow this possibility.

How to convert a mixed number to an improper fraction?

For the new numerator, multiply the whole number by the denominator and add the old numerator. In this example, multiply 4 by 7 to get 28, then add 1 to get a numerator of 29. The denominator is 7.

How to convert fractions that are not in simplest terms to equivalent form?

To convert a fraction that's not in simplest terms to an equivalent form that is, we divide the numerator and denominator by their greatest common factor. The greatest common factor (GCF) of the numerator and denominator is the largest number that divides into both to give a whole number result.

What happens when you multiply the denominator and the numerator of a fraction?

In other words, multiplying the numerator and denominator of a fraction by the same number will produce an equivalent fraction. Though the numbers in the new fraction will be different, the fractions will have the same value.

What is equivalent fraction?

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. For example, think about the fraction 1/2. It means half of something.

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 does 1/2 mean in math?

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.

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