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?
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.
To find the total amount of time Tami spends doing these activities, we need to add the times spent on each activity.
Tami spends 1 half of an hour on the telephone. A half is the same as 1 over 2, so she spends 1/2 hour on the telephone.
Tami spends 5 over 8 of an hour exercising. To add these fractions, we need to have a common denominator. The least common multiple (LCM) of 2 and 8 is 8. So, let's convert the fraction 5 over 8 to an equivalent fraction with a denominator of 8. To do that, we need to multiply the numerator and the denominator by 4. We get (5 x 4) over (8 x 4) which is 20 over 32.
Tami spends 3 over 4 of an hour doing laundry.
Now, we can add the fractions: 1/2 + 20/32 + 3/4.
To add fractions, we need to have a common denominator. The LCM of 2, 32, and 4 is 32. So, let's convert the fractions to have a common denominator of 32.
1/2 is the same as 16/32 (multiply numerator and denominator by 16).
20/32 remains the same.
3/4 is the same as 24/32 (multiply numerator and denominator by 8).
Now, we can add the fractions: 16/32 + 20/32 + 24/32.
Adding the numerators, we get: 16 + 20 + 24 = 60.
So, the total time Tami spends on these activities is 60/32 hours.
To reduce this fraction to lowest terms, we can simplify the numerator and denominator by dividing both by their greatest common divisor (GCD).
The GCD of 60 and 32 is 4.
Dividing the numerator and denominator by 4, we get: (60 ÷ 4) / (32 ÷ 4).
This simplifies to: 15/8.
Therefore, 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 doing these activities.
First, let's convert the fractions to a common denominator so we can add them together. In this case, the common denominator is 8.
1 half of an hour = (1/2) * (8/8) = 4/8
5 over 8 of an hour = 5/8
3 over 4 of an hour = 6/8
Now we can add these fractions together:
4/8 + 5/8 + 6/8 = 15/8
To simplify this fraction to its lowest terms, we can divide both the numerator and denominator by their greatest common divisor, which is 1 in this case:
15/8 ÷ 1/1 = 15/8
So the total amount of time Tami spends doing these activities is 15/8 of an hour.