Exercise 18 Page 47

Before we evaluate the expression, let's first rewrite it so that all of the numbers are fractions. The quotient of 4 13 and 3 14 is the same as the quotient of 133 and 134. 4 13 ÷ 3 14 &= 133 ÷ 13/4 &= * &= Now, dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. 4 13 ÷ 3 14 &= 133 ÷ 13/4 &= 13/3 * 4/13 &= When multiplying fractions, remember that the product of two fractions is equal to the product of the numerators over the product of the denominators.

13/3 * 4/13

MultFrac

Multiply fractions

13 * 4/3 * 13

Multiply

Multiply

52/39

ReduceFrac

a/b=.a /13./.b /13.

52/13/39/13

CalcQuot

Calculate quotient

4/3

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

4/3

Rewrite

Rewrite 4 as 3+1

3+1/3

WriteSumFrac

Write as a sum of fractions

3/3+1/3

QuotOne

a/a=1

1+1/3

AddTerms

Add terms

1 13

The quotient is 43 or 1 13. 4 13 ÷ 3 14 &= 133 ÷ 13/4 &= 13/3 * 4/13 &=4/3or1 13