At a pie-eating contest, Ann got through 1/2 of a pie before time was called; Kathleen finished just 1/12 of a pie. How much more pie did Ann eat than Kathleen?Write your answer as a fraction or as a whole or mixed number.
Question
At a pie-eating contest, Ann got through 1/2 of a pie before time was called; Kathleen finished just 1/12 of a pie. How much more pie did Ann eat than Kathleen?Write your answer as a fraction or as a whole or mixed number.
Solution 1
Ann ate 1/2 of a pie and Kathleen ate 1/12 of a pie. To find out how much more pie Ann ate than Kathleen, you subtract the fraction that Kathleen ate from the fraction that Ann ate.
Here's the step-by-step calculation:
1/2 (Ann's portion) - 1/12 (Kathleen's portion) = ?
First, you need to have the same denominator to subtract fractions. The least common multiple of 2 and 12 is 12. So, convert 1/2 to 6/12.
6/12 (Ann's portion) - 1/12 (Kathleen's portion) = ?
Now, subtract the numerators (the top numbers of the fractions):
6 - 1 = 5
So, Ann ate 5/12 more of a pie than Kathleen.
Solution 2
To find out how much more pie Ann ate than Kathleen, you need to subtract the fraction of the pie that Kathleen ate from the fraction that Ann ate.
Ann ate 1/2 of a pie and Kathleen ate 1/12 of a pie.
So, you subtract 1/12 from 1/2.
First, you need to make sure the fractions have the same denominator. The least common denominator between 2 and 12 is 12.
So, convert 1/2 to 6/12.
Now, subtract 1/12 from 6/12.
6/12 - 1/12 = 5/12
So, Ann ate 5/12 more of a pie than Kathleen.
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