Question

How many 2/5 s are in 1 1/2?

Answer 1

`$3(3)/(4)` number of
`$(2)/(5)`s in
`$1(1)/(2)`.

Solution:

To find how many
`(2)/(5)` s are in
`1(1)/(2)`.

Let us first convert the mixed fraction into improper fraction.

`$1(1)/(2)=((1*2)+1)/(2)`

`$=(2+1)/(2)`

`$1(1)/(2)=(3)/(2)`

Now, divide
`$1(1)/(2)` by
`$(2)/(5)`.

`$1(1)/(2)/(2)/(5) =(3)/(2)/(2)/(5)`

Using fractional rule,
`$(a)/(b)/(c)/(d)=(a)/(b)*(d)/(c)`

`$=(3)/(2)* (5)/(2)`

`$=(3* 5)/(2* 2)`

`$=(15)/(4)`

Again, convert into a mixed fraction,

`$=3(3)/(4)`

`$1(1)/(2)/(2)/(5) =3(3)/(4)`

There are
`$3(3)/(4)` number of
`$(2)/(5)`s in
`$1(1)/(2)`.