Question

5/12 ÷ 3/8
divide. write your answer in simplest form​

Answer 1

`(10)/(9)` or
`1(1)/(9)`

Explanation:

We must make the next division of fractions

`(5)/(12)` ÷
`(3)/(8)`

Remember that
`((a)/(b))^(-1)=(b)/(a)`

Then take the denominator of the division which in this case is
`(3)/(8)` and do
`((3)/(8))^(-1)`

`((3)/(8))^(-1)=(8)/(3)`

Now multiply
`(5)/(12)*(8)/(3)`

`(5)/(12)*(8)/(3)=(40)/(36)=(4*10)/(9*4)=(10)/(9)`

Finally

`(5)/(12)` ÷
`(3)/(8)`
`=(10)/(9)`

Answer 2

`= 1 \frac { 1 } { 9 }` or
`1 . 1 1 1`

Explanation:

We are given the following two fractions that we are to divide:

`\frac { 5 } { 1 2 }` ÷
`\frac { 3 } { 8 }`

We can rewrite this as:

`= \frac {\frac { 5 } { 1 2 } } {\frac { 3 } { 8 } }`

To change this division into multiplication, we will take the reciprocal of the fraction in the denominator to get:

`= \frac { 5 } { 1 2 } * \frac { 8 } { 3 }`

`= 1 \frac { 1 } { 9 }` or
`1 . 1 1 1`