Exercise 28 Page 23

We are asked to write 7 34 % as a fraction in simplest form. To write the percent as a fraction, we can write the number part as a numerator over 100. 7 34 %=7 34/100 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. 7 34/100 = 7 34 ÷ 100Next, we will write the mixed number as an improper fraction.

7 34

MixedToFrac

a bc=a* c+b/c

7* 4 +3/4

Multiply

Multiply

28+3/4

AddTerms

Add terms

31/4

We found that 7 34 is equal to 314. 7 34 ÷ 100 = 314 ÷ 100 Now we will write the division by 100 as multiplication by the reciprocal of 100, which is 1100. 314 ÷ 100 = 314 * 1100 Let's perform the multiplication to get 7 34 % as a fraction.

31/4 * 1/100

MultFrac

Multiply fractions

31* 1/4* 100

Multiply

Multiply

31/400

Finally, we got that 7 34 % written as a fraction in simplest form is 31400.