Jan ate 1/8 of a pizza. Then she ate 1/3 of the pizza. Later she ate 1/4 of it. How much did she eat in all?

Thank you!

When we add fractions, we need a common denominator. For these fractions, 24 is the lowest common denominator.

1/8 = 3/24
1/3 = 8/24
1/4 = 6/24

Add the numerators.

= 17/24

Thank you so much for your help!!

You're welcome.

To find out how much Jan ate in total, we need to add up the fractions she ate.

First, Jan ate 1/8 of the pizza.

Next, she ate an additional 1/3 of the remaining pizza. To figure out this fraction, we need to subtract what she already ate (1/8) from 1 whole (1). To do this, we convert 1 whole to a fraction with a common denominator of 8. So, 1 whole is equal to 8/8. Now we can subtract 1/8 from 8/8, which equals 7/8. Jan ate 1/3 of the remaining 7/8, which is (1/3) * (7/8) = 7/24.

Finally, she ate an additional 1/4 of the remaining pizza. We need to subtract what she already ate (7/24) from 1 whole (1). To do this, we convert 1 whole to a fraction with a common denominator of 24. So, 1 whole is equal to 24/24. Now we can subtract 7/24 from 24/24, which equals 17/24. Jan ate 1/4 of the remaining 17/24, which is (1/4) * (17/24) = 17/96.

To find the total amount Jan ate, we add up these three fractions: 1/8 + 7/24 + 17/96.

To add fractions with different denominators, we need to find a common denominator. In this case, we can multiply 8 by 24 by 96 to find a common denominator. After finding the common denominator, we can add the numerators:

(1/8) + (7/24) + (17/96) = (12/96) + (28/96) + (17/96) = 57/96.

Therefore, Jan ate a total of 57/96 of the pizza.