Core Connections: Course 3
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Core Connections: Course 3 View details
1. Section 9.1
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Exercise 35 Page 406

Practice makes perfect
Before we evaluate the expression, recall that dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. 5/4Ă·7/16 = 5/4* 16/7 When multiplying fractions, remember that the product of two fractions is equal to the product of the numerators over the product of the denominators.
5/4* 16/7
5* 16/4* 7
80/28
80Ă· 4/28Ă· 4
20/7
To multiply the given fractions, remember that the product of two fractions is equal to the product of the numerators over the product of the denominators.
- 10/13 * 5/11
- 10* 5/13* 11
- 50/143
Let's multiply the first fraction by the reciprocal of the second. 9/11Ă·(- 20/21) = 9/11* (- 21/20) When multiplying fractions, the product is equal to the product of the numerators over the product of the denominators.
9/11* (- 21/20)
- 9/11* 21/20
- 9* 21/11* 20
- 189/220
Dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. - 8/3Ă·(- 5/18)=- 8/3* (- 18/5) Now multiply the fractions. Remember that when we multiply two negative numbers, the product is positive.
- 8/3* (- 18/5)
8/3* 18/5
8* 18/3* 5
144/15
144Ă· 3/15Ă· 3
48/5