Envision Math 2.0: Grade 7, Volume 2
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Exercise 8 Page 353

A part of a whole is equal to the ratio of a percent out of 100.

Fraction: 7296
Percent: 75 %

Practice makes perfect
We want to find the fraction form of the given ratio. The ratio is in the form of part out of whole. We can write part as a numerator and whole as a denominator of a fraction. 72out of 96 → 72/96Now, we can rewrite this fraction as an equivalent percent p by setting up a proportion. A part of a whole is equal to the ratio of a percent out of 100. 72/96 = p/100 Let's solve the equation for p. We will simplify the fraction on the left-hand side of the equation. Then, we will use the Multiplication Property of Equality.
72/96 = p/100
72/24/96/24 = p/100
3/4 = p/100
3/4* 100 = p/100* 100
3/4* 100 = p
300/4 = p
75 = p
p = 75
We found that the equivalent percent is 75 %.