Answer:
(3 3/8) : (3/8) = 9/1 = 9
Step-by-step explanation:
Conversion a mixed number 3 3/
8
to a improper fraction: 3 3/8 = 3 3/
8
= 3 · 8 + 3/
8
= 24 + 3/
8
= 27/
8
To find a 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 3. New numerator is 24 + 3 = 27
c) Write a previous answer (new numerator 27) over the denominator 8.
Three and three eighths is twenty-seven eighths
Divide: 27/
8
: 3/
8
= 27/
8
· 8/
3
= 27 · 8/
8 · 3
= 216/
24
= 24 · 9/
24 · 1
= 9
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 3/
8
is 8/
3
) 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 24 gives 9/
1
.
In other words - twenty-seven eighths divided by three eighths = nine.
