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.