after a sleepover 3/8 of a large pepperoni pizza remained. The next day mr.maxwell 1/8 of what was leftover. How much pizza remained after mr. maxwell ate some.
I keep getting 1/8. I still do not get it tho.
3/8 - 1/8 = 2/8 = 1/4.
so 7/8 of the 3/8 is left
(7/8)(3/8) = 21/64 of the pizza is left
check:
suppose the pizza had been cut into 64 pieces
3/8 of those were left ---> 24 pieces were left
maxwell ate 1/8 of those, or he ate 3 pieces,
leaving 21 of the 64 pieces, which is my answer.
To find out how much pizza remained after Mr. Maxwell ate some, we need to subtract his portion from the leftover pizza.
Given:
- After the sleepover, 3/8 of a large pepperoni pizza remained.
- Mr. Maxwell ate 1/8 of what was leftover.
To solve:
Step 1: Find out what fraction of the pizza was left after the sleepover.
3/8 of the pizza remained after the sleepover.
Step 2: Find out how much Mr. Maxwell ate.
Mr. Maxwell ate 1/8 of what was leftover.
Step 3: Subtract Mr. Maxwell's portion from the leftover pizza.
3/8 - 1/8 = 2/8
Simplifying the fraction 2/8, we get:
2 divided by 2 = 1
8 divided by 2 = 4
So, after Mr. Maxwell ate some, 1/4 of the pizza remained.
Therefore, 1/4 of the large pepperoni pizza remained after Mr. Maxwell ate some.
To understand the problem and find the answer, let's break it down step by step:
1. Start with a whole pepperoni pizza. Let's call this "1."
2. After the sleepover, there was 3/8 of the pizza left. This means we have 3/8 * 1 = 3/8 left.
3. The next day, Mr. Maxwell ate 1/8 of what was leftover. "What was leftover" refers to the 3/8 from the previous step. So, Mr. Maxwell ate 1/8 * 3/8 = 3/64 of the whole pizza.
4. To find the amount that remained, subtract the amount Mr. Maxwell ate from what was left: 3/8 - 3/64.
To subtract fractions with different denominators, we need to find a common denominator. In this case, the least common multiple (LCM) of 8 and 64 is 64.
5. Write both fractions with the common denominator: 3/8 = 24/64 and 3/64 remains.
6. Subtract the numerators: 24/64 - 3/64 = (24 - 3)/64 = 21/64.
Therefore, after Mr. Maxwell ate some of the pizza, there were 21/64 of the whole pizza remaining.