Question

A father leaves his money to his four children the first received 1/3 the second received 1/6 and the third received 2/5 how much did the remaining child receive

Answer 1

The remaining child got a fraction of
`(1)/(10)`.

Explanation:

Lets take the fraction of the money fourth child got is
`x`

Addition of all these fractions should be equal to 1.

⇒
`(1)/(3) +(1)/(6) +(2)/(5) +x=1`

⇒
`(10+5+12+30x)/(30) =1` (Taking a common denominator)

⇒
`(27+30x)/(30) =1`

⇒
`27+30x=30`

⇒
`30x=3`

⇒
`x=0.1`

Therefore,

The remaining child got a fraction of
`(1)/(10)`.