a family budgets 1/2 of its income for housing and 1/3 for food what fraction of their budget do these expenses cover
1/2 + 1/3
= 3/6 + 2/6
= 5/6
To find the fraction of the family's budget that is covered by housing and food expenses, we need to add the two fractions together.
The fraction allocated for housing is 1/2, and the fraction allocated for food is 1/3.
To add these fractions, we need to find a common denominator. In this case, the least common multiple of 2 and 3 is 6.
So, when we convert 1/2 to have a denominator of 6, we get 3/6. Similarly, when we convert 1/3 to have a denominator of 6, we get 2/6.
Now, we can add these fractions:
3/6 + 2/6 = 5/6
Therefore, housing and food expenses cover 5/6 of the family's budget.
To find out what fraction of the family's budget is covered by housing and food expenses, we need to add the fractions representing these two expenses.
The family budgets 1/2 of its income for housing and 1/3 for food. We can find a common denominator for both fractions, which is 6.
For housing: Since the denominator is 2, we can multiply both the numerator and denominator of 1/2 by 3 to get a denominator of 6. This gives us (3/6).
For food: Since the denominator is 3, we can multiply both the numerator and denominator of 1/3 by 2 to get a denominator of 6. This gives us (2/6).
Now, we can add these fractions:
(3/6) + (2/6) = 5/6
Therefore, housing and food expenses cover 5/6 of the family's budget.