Question

2 2/3 of what number is 6 1/7

Answer 1

`2(2)/(3)` of
`2(17)/(56)` is
`6(1)/(7)`

Solution:

Given
`2(2)/(3)` of what number is
`6(1)/(7)`.

Let us first convert the mixed fraction into improper fraction.

`$2(2)/(3)=((2*3)+2)/(3)=(8)/(3)`

`$6(1)/(7)=((6*7)+1)/(3)=(43)/(3)`

Now, let us take the unknown number be x.

`$2(2)/(3)* x=6(1)/(7)`

`$(8)/(3)* x=(43)/(7)`

Do the cross multiplication.

`$ x=(43)/(7)*(3)/(8)`

`$ x=(43*3)/(7*8)`

`$ x=(129)/(56)`

Now, again change the improper fraction into mixed fraction.

`$ x=2(17)/(56)`

Hence
`2(2)/(3)` of
`2(17)/(56)` is
`6(1)/(7)`.