Exercise 11 Page 21

We are asked to write 15 35 % as a fraction in simplest form. To write the percent as a fraction, we can write the number part as a numerator over 100. 15 35 %=15 35/100 Notice that we got a fraction with a numerator that is a mixed number. This means that it is a complex fraction. Recall that complex fractions can be simplified to the form when both the numerator and denominator are integers. Let's start simplifying by writing the complex fraction as a division problem. 15 35/100 = 15 35 ÷ 100Next, we will write the mixed number as an improper fraction.

15 35

MixedToFrac

a bc=a* c+b/c

15* 5 +3/5

Multiply

Multiply

75+3/5

AddTerms

Add terms

78/5

We found that 15 35 is equal to 785. 15 35 ÷ 100 = 785 ÷ 100 Now we will write the division by 100 as multiplication by the reciprocal of 100, which is 1100. 785 ÷ 100 = 785 * 1100 Let's perform the multiplication to get 15 35 % as a fraction. Then we will reduce the fraction to simplest form.

78/5 * 1/100

MultFrac

Multiply fractions

78* 1/5* 100

Multiply

Multiply

78/500

ReduceFrac

a/b=.a /2./.b /2.

78÷ 2/500÷ 2

CalcQuot

Calculate quotient

39/250

Finally, we got that 15 35 % written as a fraction in simplest form is 39250.