Answer:
1 2/3 * 3 1/2 = 35/
6
= 5 5/
6
≅ 5.8333333
Step-by-step explanation:
Conversion a mixed number 1 2/
3
to a improper fraction: 1 2/3 = 1 2/
3
= 1 · 3 + 2/
3
= 3 + 2/
3
= 5/
3
To find new numerator:
a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 3/
3
= 3/
3
b) Add the answer from previous step 3 to the numerator 2. New numerator is 3 + 2 = 5
c) Write a previous answer (new numerator 5) over the denominator 3.
One and two thirds is five thirds
Conversion a mixed number 3 1/
2
to a improper fraction: 3 1/2 = 3 1/
2
= 3 · 2 + 1/
2
= 6 + 1/
2
= 7/
2
To find new numerator:
a) Multiply the whole number 3 by the denominator 2. Whole number 3 equally 3 * 2/
2
= 6/
2
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 2.
Three and one half is seven halfs
Multiple: 5/
3
* 7/
2
= 5 · 7/
3 · 2
= 35/
6
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(35, 6) = 1. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - five thirds multiplied by seven halfs = thirty-five sixths.
