Question

What is 3 8/8 divided by 8/6

Answer 1

Answer: 3

Step-by-step 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.

Answer 2

Answer:

2 17/32

Step-by-step explanation:

converting mixed numbers to fractions, reducing where possible, our initial equation becomes,

27/8 ÷ 4/3

Applying the fractions formula for division,

27/8 x 4 = 81/32

Simplifying 81/32, the answer is

= 2 17/32