Exercise 5 Page 46

Before we evaluate the expression, let's first rewrite it so that all of the numbers are fractions. The quotient of 2 58 and 2 14 is the same as the quotient of 218 and 94. 2 58 ÷ 2 14 &= 21/8 ÷ 9/4 &= 21/8 * &= Now, dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. 2 58 ÷ 2 14 &= 21/8 ÷ 9/4 &= 21/8 * 4/9 &= When multiplying fractions, remember that the product of two fractions is equal to the product of the numerators over the product of the denominators.

21/8 * 4/9

MultFrac

Multiply fractions

21 * 4/8 * 9

Multiply

Multiply

84/72

ReduceFrac

a/b=.a /12./.b /12.

84/12/72/12

CalcQuot

Calculate quotient

7/6

Finally, we can write the fraction as a mixed number.

7/6

▼

Write fraction as a mixed number

Rewrite

Rewrite 7 as 6+1

6+1/6

WriteSumFrac

Write as a sum of fractions

6/6+1/6

QuotOne

a/a=1

1+1/6

AddTerms

Add terms

1 16

The quotient is 76 or 1 16. 2 58 ÷ 2 14 &= 21/8 ÷ 9/4 &= 21/8 * 4/9 &=7/6or 1 16