Question

Determine the quotient: 2 4/7 ÷ 1 3/6

Answer 1

First we must change these numbers to improper fractions:

`2(4)/(7)=(18)/(7)`

`1(3)/(6)=(9)/(6)`

So then we set it up:

`(18)/(7)` ÷
`(9)/(6)`

When we divide fractions like this, we must flip the second fraction and change the sign from division to multiplication like so:

`(18)/(7)*(6)/(9)`

Then we solve:

`(108)/(63)`

Then if we divide the numerator and the denominator by 9, we get:

`(12)/(7)` or, in mixed-number form,
`1(5)/(7)`.