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Glencoe Math: Course 2, Volume 1

GM

Glencoe Math: Course 2, Volume 1 View details

2. Complex Fractions and Unit Rates

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Exercise 1 Page 21

Start by rewriting the complex fraction as a division problem.

1 12

Practice makes perfect

We want to simplify the following expression. 1/23 As we can see, we have a complex fraction. Let's rewrite it as a division problem. 1/23 = 1 ÷ 2/3 Now we can write the division by 23 as multiplication by the reciprocal of 23, which is 32. 1 ÷ 2/3 = 1 * 3/2 Finally, let's evaluate the expression.

1 * 3/2

Identity Property of Multiplication

3/2

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

3/2

▼

Write fraction as a mixed number

Write as a sum

2+1/2

Write as a sum of fractions

2/2+1/2

a/a=1

1+1/2

Add terms

1 12

We found that the given complex fraction is equal to 1 12.

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