Exercise 13 Page 141

In the percent proportion, the ratio of the part a to the whole b is equal to the percent p written as a fraction. a/b=p/100 Given any two of these three variables, we can find the third one. In this exercise, we are given the values a= 20 and b= 48, and we are looking for the percent p.

a/b=p/100

SubstituteII

a= 20, b= 48

20/48=p/100

ReduceFrac

a/b=.a /4./.b /4.

5/12=p/100

MultEqn

LHS * 100=RHS* 100

500/12=p

RearrangeEqn

Rearrange equation

p=500/12

ReduceFrac

a/b=.a /4./.b /4.

p=125/3

▼

Write fraction as a mixed number

Rewrite

Rewrite 125 as 123+2

p=123+2/3

WriteSumFrac

Write as a sum of fractions

p=123/3+2/3

CalcQuot

Calculate quotient

p=41+2/3

AddTerms

Add terms

p=41 23

This means that 20 is 41 23 % of 48.