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What is the product of 5 1/2 and 3 3/4?

A. 22 3/8

B. 21 1/4

C. 20 5/8

D. 15 3/8

User Laynor
by
7.5k points

1 Answer

4 votes

C:

5 1/2 * 3 3/4 = 165/

8

= 20 5/

8

= 20.625

Conversion a mixed number 5 1/

2

to a improper fraction: 5 1/2 = 5 1/

2

= 5 · 2 + 1/

2

= 10 + 1/

2

= 11/

2

To find a new numerator:

a) Multiply the whole number 5 by the denominator 2. Whole number 5 equally 5 * 2/

2

= 10/

2

b) Add the answer from the previous step 10 to the numerator 1. New numerator is 10 + 1 = 11

c) Write a previous answer (new numerator 11) over the denominator 2.

Five and one half is eleven halfs.

Conversion a mixed number 3 3/

4

to a improper fraction: 3 3/4 = 3 3/

4

= 3 · 4 + 3/

4

= 12 + 3/

4

= 15/

4

To find a new numerator:

a) Multiply the whole number 3 by the denominator 4. Whole number 3 equally 3 * 4/

4

= 12/

4

b) Add the answer from the previous step 12 to the numerator 3. New numerator is 12 + 3 = 15

c) Write a previous answer (new numerator 15) over the denominator 4.

Three and three quarters is fifteen quarters.

Multiple: 11/

2

* 15/

4

= 11 · 15/

2 · 4

= 165/

8

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(165, 8) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - eleven halfs multiplied by fifteen quarters is one hundred sixty-five eighths.

User Elrrrrrrr
by
8.1k points

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