Answer:
Step-by-step explanation:
Conversion a mixed number 2 1/
3
to a improper fraction: 2 1/3 = 2 1/
3
= 2 · 3 + 1/
3
= 6 + 1/
3
= 7/
3
To find new numerator:
a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/
3
= 6/
3
b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7
c) Write a previous answer (new numerator 7) over the denominator 3.
Two and one third is seven thirds
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 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 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: 7/
3
* 15/
4
= 7 · 15/
3 · 4
= 105/
12
= 35 · 3/
4 · 3
= 35/
4
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(105, 12) = 3. In the next intermediate step, , cancel by a common factor of 3 gives 35/
4
.
In words - seven thirds multiplied by fifteen quarters = thirty-five quarters.
Compare: the result of step No. 3 vs 35/
4
= 35/
4
vs 35/
4
= 35 vs 35 = Yes
