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

`(1)/(2) = (3)/(6), \, and \, (1)/(3)= (2)/(6)`

Therefore the fraction of the budget is

`(1)/(2)+ (1)/(3) = (3)/(6) + (2)/(6) = (5)/(6)`

Answer: 5/6