body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Glencoe Math: Course 2, Volume 1

GM

Glencoe Math: Course 2, Volume 1 View details

2. Complex Fractions and Unit Rates

Continue to next subchapter

Exercise 2 Page 21

Start by rewriting the complex fraction as a division problem.

7 13

Practice makes perfect

We want to simplify the following expression. 2/311 As we can see, we have a complex fraction. Let's rewrite it as a division problem. 2/311 = 2 ÷ 3/11 Now we can write the division by 311 as multiplication by the reciprocal of 311, which is 113. 2 ÷ 311 = 2 * 11/3 Finally, let's evaluate the expression.

2 * 11/3

a=a/1

2/1 * 11/3

Multiply fractions

2* 11/1* 3

Multiply

22/3

Notice that we can write the fraction we got as a mixed number.

22/3

▼

Write fraction as a mixed number

Write as a sum

21+1/3

Write as a sum of fractions

21/3+1/3

Calculate quotient

7+1/3

Add terms

7 13

We found that the given complex fraction is equal to 7 13.

Subchapter links

Guided Practice p.20

Independent Practice p.21-22

H.O.T. Problems p.22

Standardized Test Practice p.22-24

Extra Practice p.23

Common Core Review p.24