Answer:

Step-by-step EXPLANATION:

Conversion a mixed number 3 2/

3

to a improper fraction: 3 2/3 = 3 2/

3

= 3 · 3 + 2/

3

= 9 + 2/

3

= 11/

3

To find NEW numerator:

a) Multiply the whole number 3 by the denominator 3. Whole number 3 equally 3 * 3/

3

= 9/

3

b) Add the answer from previous step 9 to the numerator 2. New numerator is 9 + 2 = 11

c) Write a previous answer (new numerator 11) over the denominator 3.

Three and two thirds is eleven thirds

Conversion a mixed number 2 1/

7

to a improper fraction: 2 1/7 = 2 1/

7

= 2 · 7 + 1/

7

= 14 + 1/

7

= 15/

7

To find new numerator:

a) Multiply the whole number 2 by the denominator 7. Whole number 2 equally 2 * 7/

7

= 14/

7

b) Add the answer from previous step 14 to the numerator 1. New numerator is 14 + 1 = 15

c) Write a previous answer (new numerator 15) over the denominator 7.

Two and one seventh is fifteen sevenths

Multiple: 11/

3

* 15/

7

= 11 · 15/

3 · 7

= 165/

21

= 55 · 3/

7 · 3

= 55/

7

Multiply both numerators and denominators. RESULT fraction keep to lowest possible denominator GCD(165, 21) = 3. In the next intermediate step, , CANCEL by a common factor of 3 GIVES 55/

7

.

In words - eleven thirds multiplied by fifteen sevenths = fifty-five sevenths.