Envision Math 2.0: Grade 6, Volume 2
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Exercise 5 Page 255

If you multiply or divide the numerator and denominator of a fraction by the same number, you will get an equivalent fraction.

Example Fractions: 14/16 and 21/24

Practice makes perfect

Let's recall the definition of equivalent fractions.

Equivalent Fractions

Fractions that name the same amount.

We are asked to write two fractions equivalent to the given fraction.

Given Fraction Equivalent Fraction Equivalent Fraction
7/8 ? ?

First, let's visualize the given fraction.

Notice that the red area covers 78 of the circle. Now let's split the circle into twice as many parts!

Now we can see that the same red area also covers 1416 of the circle. This means that 1416 is equivalent to 78.

Given Fraction Equivalent Fraction Equivalent Fraction
7/8 14/16  ?
We can also find equivalent fractions by multiplying or dividing the numerator and denominator by the same number. Let's use this method to find another equivalent fraction! For example, we can multiply the numerator and the denominator by 3.
7/8
7*3/8* 3
21/24
We found that 2124 is equivalent to 78.
Given Fraction Equivalent Fraction Equivalent Fraction
7/8 14/16 21/24

Keep in mind that these are only examples of fractions equivalent to 78. There are infinitely many more!