Question

Solve 6 /7 ÷ 36 /56 and put answer in simplest form. A. 4 /3 B. 8/ 6 C. 2/ 8 D. 6/ 8

Answer 1

A. 4/3

Explanation:

The given expression is
`(6)/(7)` ÷
`(36)/(56)`

To divide two fractional values, multiply the dividend with the inverse of the divisor. The expression will then be:
`(6)/(7)` ×
`(56)/(36)`

Now, divide 56 by 7 which will be 8 and divide 6 by 36 which will be
`(1)/(6)`.

The expression now will be
`(8)/(6)`.

Now divide both the numerator and denominator with 2. 8 ÷ 2 gives us 4 and 6 ÷ 2 gives us 3.

`((8)/(2) )/((6)/(2) ) = (4)/(3)`

Since
`(4)/(3)` cannot be divided any further, it is the correct answer.

Answer 2

Explanation:

6 /7 / (36 /56) Flip denominator and MULTIPLY

6 /7 x 56/ 36 = 336 /252 = 4/3