Question

Solve this problem. Reduce to lowest terms.

After work, Tami spends 1 half of an hour on the telephone, 5 over 8 of an hour exercising, and 3 over 4 of an hour doing laundry. What is the total amount of time Tami spends doing these activities?

Answer 1

To solve this problem, we need to find a common denominator for the fractions 1/2, 5/8, and 3/4.

The common denominator for these fractions is 8.

Next, we need to convert each fraction to have a denominator of 8.

1/2 is equivalent to 4/8
5/8 remains the same.
3/4 is equivalent to 6/8.

Now, we can add the fractions together.

4/8 + 5/8 + 6/8 = 15/8.

However, 15/8 is not in lowest terms, since 15 and 8 have a common factor of 1.

To reduce to lowest terms, we divide both the numerator and the denominator of 15/8 by their greatest common factor, which is 1.

15/8 ÷ 1/1 = 15/8.

Therefore, the total amount of time Tami spends doing these activities is 15/8 hours.