Question

Divide. Reduce the answer to lowest terms.
3/8 divided by 1/7

Answer 1

D. 2 5/8

Step-by-step explanation:

3/8÷1/7=?

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

3/8×7/1=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

3×7/8×1= 21/8

This fraction cannot be reduced.

The fraction

2/18

is the same as

21÷8

Convert to a mixed number using

long division for 21 ÷ 8 = 2R5, so

2/18= 2 5/8

Therefore:

3/8÷1/7= 2 5/8

Answer 2

`2 (5)/(8)`, or
`(21)/(8)`

Step-by-step explanation:

Use the Keep Change Flip method. Change the sign to multiplication and flip the second fraction.
`(3)/(8)*(7)/(1)`

Multiply the numerators and the denominators separatley.
`(3*7)/(8*1)=(21)/(8)`

This cannot be simplified further, but it can be converted to a mixed number (as opposed to an improper fraction).
`(21)/(8)=2 (5)/(8)`