Exercise 12 Page 21

We are asked to write 13 13 % as a fraction in simplest form. To write the percent as a fraction, we can write the number part as a numerator over 100. 13 13 %=13 13/100 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. 13 13/100 = 13 13 ÷ 100Next, we will write the mixed number as an improper fraction.

13 13

MixedToFrac

a bc=a* c+b/c

13* 3 +1/3

Multiply

Multiply

39+1/3

AddTerms

Add terms

40/3

We found that 13 13 is equal to 403. 13 13 ÷ 100 = 403 ÷ 100 Now we will write the division by 100 as multiplication by the reciprocal of 100, which is 1100. 403 ÷ 100 = 403 * 1100 Let's perform the multiplication to get 13 13 % as a fraction. Then we will reduce the fraction to simplest form.

40/3 * 1/100

MultFrac

Multiply fractions

40* 1/3* 100

Multiply

Multiply

40/300

ReduceFrac

a/b=.a /20./.b /20.

40÷ 20/300÷ 20

CalcQuot

Calculate quotient

2/15

Finally, we got that 13 13 % written as a fraction in simplest form is 215.