1. Conversion a mixed number 4 1/ 3 to a improper fraction: 4 1/3 = 4 1/ 3
= 4 · 3 + 1/ 3 = 12 + 1/ 3 = 13/ 3
To find a new numerator:
a) Multiply the whole number 4 by the denominator 3. Whole number 4 equally 4 * 3/ 3 = 12/ 3
b) Add the answer from previous step 12 to the numerator 1. New numerator is 12 + 1 = 13
c) Write a previous answer (new numerator 13) over the denominator 3.
Four and one third is thirteen thirds
2. Multiple: 1/ 2 * 13/ 3 = 1 · 13/ 2 · 3 = 13/ 6
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(13, 6) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - one half multiplied by thirteen thirds = thirteen sixths.
Answers & Comments
Answer:
C
Explanation:
1. Conversion a mixed number 4 1/ 3 to a improper fraction: 4 1/3 = 4 1/ 3
= 4 · 3 + 1/ 3 = 12 + 1/ 3 = 13/ 3
To find a new numerator:
a) Multiply the whole number 4 by the denominator 3. Whole number 4 equally 4 * 3/ 3 = 12/ 3
b) Add the answer from previous step 12 to the numerator 1. New numerator is 12 + 1 = 13
c) Write a previous answer (new numerator 13) over the denominator 3.
Four and one third is thirteen thirds
2. Multiple: 1/ 2 * 13/ 3 = 1 · 13/ 2 · 3 = 13/ 6
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(13, 6) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - one half multiplied by thirteen thirds = thirteen sixths.