Answer: 12.5
Explanation:
Conversion a mixed number 8 1/
3
to a improper fraction: 8 1/3 = 8 1/
3
= 8 · 3 + 1/
3
= 24 + 1/
3
= 25/
3
To find a new numerator:
a) Multiply the whole number 8 by the denominator 3. Whole number 8 equally 8 * 3/
3
= 24/
3
b) Add the answer from the previous step 24 to the numerator 1. New numerator is 24 + 1 = 25
c) Write a previous answer (new numerator 25) over the denominator 3.
Eight and one third is twenty-five thirds.
Divide: 25/
3
: 2/
3
= 25/
3
· 3/
2
= 25 · 3/
3 · 2
= 75/
6
= 3 · 25/
3 · 2
= 25/
2
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 2/
3
is 3/
2
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 3 gives 25/
2
.
In other words - twenty-five thirds divided by two thirds is twenty-five halfs.