Exercise 11 Page 353

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. 23out of 69 → 23/69Now, 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. 23/69 = 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.

23/69 = p/100

ReduceFrac

a/b=.a /23./.b /23.

23/23/69/23 = p/100

CalcQuot

Calculate quotient

1/3 = p/100

MultEqn

LHS * 100=RHS* 100

1/3* 100 = p/100* 100

DenomMultFracToNumber

100 * a/100= a

1/3* 100 = p

MoveRightFacToNumOne

1/b* a = a/b

100/3 = p

CalcQuot

Calculate quotient

33.(3) = p

RearrangeEqn

Rearrange equation

p = 75

We found that the equivalent percent is 33.(3) %.