Answer: 3
Explanation:
Conversion a mixed number 3 8
8
to a improper fraction: 3 8/8 = 3 8
8
= 3 · 8 + 8
8
= 24 + 8
8
= 32
8
To find new numerator:
a) Multiply the whole number 3 by the denominator 8. Whole number 3 equally 3 * 8
8
= 24
8
b) Add the answer from previous step 24 to the numerator 8. New numerator is 24 + 8 = 32
c) Write previous answer (new numerator 32) over the denominator 8.
Three and eight eighths is thirty-two eighths
Divide: 32
8
: 8
6
= 32
8
· 6
8
= 32 · 6
8 · 8
= 192
64
= 64 · 3
64 · 1
= 3
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 32
8
is 8
32
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step cancelling by a common factor of 64 gives 3
1
.
In words - thirty-two eighths divided by eight sixths = three.