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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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.
To find the total amount of time Tami spends doing these activities, we need to add up the times spent on each activity.
The time spent on the telephone is 1/2 of an hour.
The time spent exercising is 5/8 of an hour.
The time spent doing laundry is 3/4 of an hour.
To add these fractions, we need to find a common denominator. The smallest common denominator for 2, 8, and 4 is 8.
So, let's convert each fraction to have a denominator of 8:
1/2 = 4/8
5/8 remains the same.
3/4 = 6/8
Now, let's add the fractions:
4/8 + 5/8 + 6/8 = (4 + 5 + 6)/8 = 15/8
Therefore, the total amount of time Tami spends doing these activities is 15/8 hours.
However, we need to reduce this fraction to its lowest terms.
To simplify the fraction 15/8, we can divide both the numerator and denominator by their greatest common divisor, which is 1.
15/8 ÷ 1/1 = (15 × 1)/(8 × 1) = 15/8
So, the total amount of time Tami spends doing these activities is 15/8 hours.
To solve this problem, we need to find the total amount of time Tami spends on the telephone, exercising, and doing laundry.
First, let's convert the fractions to a common denominator. In this case, we can use 8 as the common denominator because it is divisible by all the denominators mentioned in the problem (2, 8, and 4).
1 half of an hour is equal to 4 over 8 of an hour.
5 over 8 of an hour remains the same.
3 over 4 of an hour is equal to 6 over 8 of an hour.
Now, we can add up the fractions:
4 over 8 plus 5 over 8 plus 6 over 8 equals 15 over 8.
Since the question asks for the total amount of time in the lowest terms, we need to simplify the fraction. In this case, the fraction 15 over 8 is already in its lowest terms because 15 and 8 do not share any common factors.
Therefore, Tami spends a total of 15 over 8 hours doing these activities.