Liz made 11 2/5 bags of popcorn for a movie night with some friends. Together they ate 2 1/5 bags of it. How much popcorn was left?Write your answer as a fraction or as a whole or mixed number.
Question
Liz made 11 2/5 bags of popcorn for a movie night with some friends. Together they ate 2 1/5 bags of it. How much popcorn was left?Write your answer as a fraction or as a whole or mixed number.
Solution
Liz initially made 11 2/5 bags of popcorn. This can be converted to an improper fraction for easier calculation.
- Convert 11 2/5 to an improper fraction: 11 2/5 = 5*11 + 2/5 = 57/5
Liz and her friends ate 2 1/5 bags of popcorn. This can also be converted to an improper fraction.
- Convert 2 1/5 to an improper fraction: 2 1/5 = 5*2 + 1/5 = 11/5
To find out how much popcorn was left, subtract the amount eaten from the total amount made.
- Subtract the fractions: 57/5 - 11/5 = 46/5
This can be converted back to a mixed number for the final answer.
- Convert 46/5 to a mixed number: 46 ÷ 5 = 9 remainder 1, so the mixed number is 9 1/5.
So, Liz had 9 1/5 bags of popcorn left.
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