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Glencoe Math: Course 2, Volume 1

GM

Glencoe Math: Course 2, Volume 1 View details

Mid-Chapter Check

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Exercise 7 Page 44

Start by rewriting the complex fraction as a division problem.

4/33

Practice makes perfect

We want to simplify the following expression. 16/1 38 As we can see, we have a complex fraction. Let's rewrite it as a division problem. 16/1 38 = 1/6 ÷ 1 38Now we will write the mixed number as an improper fraction.

1 38

a bc=a* c+b/c

1* 8 +3/8

Identity Property of Multiplication

8 +3/8

Add terms

11/8

We found that 1 38 is equal to 118. 1/6 ÷ 1 38 = 1/6 ÷ 11/8 Now we can write the division by 118 as multiplication by the reciprocal of 118, which is 811. 1/6 ÷ 118 = 1/6 * 8/11 Finally, let's evaluate the expression.

1/6 * 8/11

Multiply fractions

1* 8/6* 11

Multiply

8/66

Notice that we can reduce the fraction that we got.

8/66

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

8÷ 2/66÷ 2

Simplify quotient

4/33

We found that the given complex fraction is equal to 433.

Subchapter links

Vocabulary Check p.44

Skills Check and Problem Solving p.44