Question

Marshall divides his money into four categories. He saves 1/3 of his money. He gives 1/6 of his money to a charity. He uses 1/14 of his money to buy snacks at school, and he spends 3/7 of his money on fun. What fraction of his money does he save and spend on fun?

Answer 1

1/3 + 3/7
save + fun + extra

(7/21 + 9/21) = 16/21 on save and fun

Answer 2

Marshall divides his money into four categories.

He saves 1/3 of his money.

He gives 1/6 of his money to a charity.

He uses 1/14 of his money to buy snacks at school,

and he spends 3/7 of his money on fun.

Money he saves =
`(1)/(3)`

Money he spends for fun =
`(3)/(7)`

Fraction of his money he save and spend on fun =
`(1)/(3)` +
`(3)/(7)`

LCD of (3 and 7) is 21

`(1*7)/(3*7)` +
`(3*3)/(7*3)`

`(7)/(21)` +
`(9)/(21)`

Denominators are same so we add the numerators

`(16)/(21)`