Question

4 1/6 divided by 1 1/3

Answer 1

`(25)/(8)`

Explanation:

A fraction is a part of a whole .

A proper fraction is a fraction whose numerator is less than denominator .

For example
`(2)/(3)\,,\,(3)/(4)`

An improper fraction is a fraction whose numerator is greater than denominator .

For example
`(5)/(4)\,,\,(8)/(7)`

A mixed fraction is made up of whole number and a proper fraction .

Given :
`4(1)/(6)\,,1(1)/(3)`

Solution :

`4(1)/(6)=(4* 6+1)/(6)=(25)/(6)\\1(1)/(3)=(3* 1+1)/(3)=(4)/(3)`

We need to divide
`4(1)/(6)` by
`1(1)/(3)` .

`4(1)/(6)/ 1(1)/(3)=(25)/(6)/(4)/(3) \\\Rightarrow 4(1)/(6)/ 1(1)/(3)= (25)/(6)* (3)/(4)=(25)/(8)`