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Envision Math 2.0: Grade 6, Volume 2

EM

Envision Math 2.0: Grade 6, Volume 2 View details

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Exercise 6 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: 36/15 and 72/30

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
12/5	?	?

We can find equivalent fractions by multiplying or dividing the numerator and denominator by the same number. For example, we can multiply the numerator and the denominator by 3.

12/5

a/b=a * 3/b * 3

12*3/5* 3

Multiply

36/15

We found that 3615 is equivalent to 125.

Given Fraction	Equivalent Fraction	Equivalent Fraction
12/5	36/15	?

We can find another equivalent fraction in a similar way. This time let's multiply the numerator and the denominator by 6.

12/5

a/b=a * 6/b * 6

12*6/5* 6

Multiply

72/30

We found that 7230 is equivalent to 125.

Given Fraction	Equivalent Fraction	Equivalent Fraction
12/5	36/15	72/30

Keep in mind that these are only examples of fractions equivalent to 125. There are infinitely many more!

Subchapter links

Review What You Know! p.255