Exercise 17 Page 47

Before we evaluate the expression, let's first rewrite it so that all of the numbers are fractions. The quotient of 2 23 and 8 is the same as the quotient of 83 and 81. 2 23 ÷ 8 &= 8/3 ÷ 8/1 &= * &= Now, dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. Knowing this, we can fill the second box. 2 23 ÷ 8 &= 8/3 ÷ 8/1 &= 8/3 * 1/8 &= When multiplying fractions, remember that the product of two fractions is equal to the product of the numerators over the product of the denominators.

8/3 * 1/8

MultFrac

Multiply fractions

8 * 1/3 * 8

IdPropMult

Identity Property of Multiplication

8/3 * 8

Multiply

Multiply

8/24

ReduceFrac

a/b=.a /8./.b /8.

8/8/24/8

QuotOne

a/a=1

1/24/8

CalcQuot

Calculate quotient

1/3

The quotient is 13. 2 23 ÷ 8 &= 8/3 ÷ 8/1 &= 8/3 * 1/8 &=1/3