Last week Abigail and her roommates ate 1 1/3 cartons of yoghurt, and this week they ate 4 1/2 cartons. How much more yoghurt did they eat this week compared to last week?Write your answer as a fraction or as a whole or mixed number.
Question
Last week Abigail and her roommates ate 1 1/3 cartons of yoghurt, and this week they ate 4 1/2 cartons. How much more yoghurt did they eat this week compared to last week?Write your answer as a fraction or as a whole or mixed number.
Solution
First, we need to convert the mixed numbers into improper fractions to make the calculation easier.
1 1/3 = 4/3 (since 13 + 1 = 4) 4 1/2 = 9/2 (since 42 + 1 = 9)
Next, we subtract the smaller fraction (the amount of yoghurt eaten last week) from the larger fraction (the amount of yoghurt eaten this week) to find the difference.
9/2 - 4/3 = 27/6 - 8/6 = 19/6
However, the question asks for the answer as a fraction or as a whole or mixed number.
19/6 is an improper fraction, which can be converted to the mixed number 3 1/6.
So, Abigail and her roommates ate 3 1/6 more cartons of yoghurt this week compared to last week.
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