Question

A family budgets 1/2 of its income for housing and 1/3 for food. What fraction of their budget do these expenses cover?

Answer 1

1/2 of the income goes for housing.
1/3 of the income goes for foor.

The sum of these fractions are their expenses.
Note that
$\frac{1}{2} = \frac{3}{6}, \, and \, \frac{1}{3}= \frac{2}{6}$

Therefore the fraction of the budget is
$\frac{1}{2}+ \frac{1}{3} = \frac{3}{6} + \frac{2}{6} = \frac{5}{6}$

Answer: 5/6