Envision Math 2.0: Grade 7, Volume 2
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Exercise 10 Page 353

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

Fraction: 39/104
Percent: 37.5 %

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. 39out of 104 → 39/104Now, 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. 39/104 = 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.
39/104 = p/100
39/13/104/13 = p/100
3/8 = p/100
3/8* 100 = p/100* 100
3/8* 100 = p
300/8 = p
37.5 = p
p = 37.5
We found that the equivalent percent is 37.5 %.