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?

Select the correct answer.

Question 6 options:

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Answer 1

To find the total amount of time Tami spends on these activities, we add the times together:

1/2 hour + 5/8 hour + 3/4 hour

To add these fractions, they need to have a common denominator. The least common multiple of 2, 8, and 4 is 8.

1/2 hour is equivalent to 4/8 hour (multiply the numerator and denominator by 4)
5/8 hour remains the same
3/4 hour is equivalent to 6/8 hour (multiply the numerator and denominator by 2)

Now we can add the fractions:

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

The total amount of time Tami spends on these activities is 15/8 hour.

To reduce this fraction to lowest terms, we can divide the numerator and denominator by their greatest common divisor, which is 1.

15 ÷ 1 / 8 ÷ 1 = 15/8 hour

So the total amount of time Tami spends on these activities, reduced to lowest terms, is 15/8 hour.