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 = [tex] \frac{1}{3} [/tex]
Money he spends for fun = [tex] \frac{3}{7} [/tex]
Fraction of his money he save and spend on fun = [tex] \frac{1}{3} [/tex] + [tex] \frac{3}{7} [/tex]
LCD of (3 and 7) is 21
[tex] \frac{1*7}{3*7} [/tex] + [tex] \frac{3*3}{7*3} [/tex]
[tex] \frac{7}{21} [/tex] + [tex] \frac{9}{21} [/tex]
Denominators are same so we add the numerators
[tex] \frac{16}{21} [/tex]