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While making desserts for a bake sale, Leroy used 3 1/3 scoops of brown sugar as well as 1/4 of a scoop of white sugar. How much more brown sugar did Leroy use?Write your answer as a fraction or as a whole or mixed number.

Question

While making desserts for a bake sale, Leroy used 3 1/3 scoops of brown sugar as well as 1/4 of a scoop of white sugar. How much more brown sugar did Leroy use?Write your answer as a fraction or as a whole or mixed number.

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Solution

First, we need to convert the mixed number 3 1/3 to an improper fraction.

To do this, we multiply the whole number (3) by the denominator of the fraction (3) and then add the numerator of the fraction (1). This gives us 3*3 + 1 = 10. So, 3 1/3 is the same as 10/3.

Next, we need to subtract the amount of white sugar (1/4) from the amount of brown sugar (10/3) to find out how much more brown sugar Leroy used.

To subtract fractions, they need to have the same denominator. The least common denominator of 3 and 4 is 12.

So, we convert 10/3 to a fraction with a denominator of 12 by multiplying both the numerator and the denominator by 4. This gives us 40/12.

We convert 1/4 to a fraction with a denominator of 12 by multiplying both the numerator and the denominator by 3. This gives us 3/12.

Now, we can subtract 3/12 from 40/12 to find out how much more brown sugar Leroy used. This gives us 37/12.

However, 37/12 is an improper fraction. To convert it to a mixed number, we divide the numerator by the denominator. This gives us 3 remainder 1. So, 37/12 is the same as 3 1/12.

Therefore, Leroy used 3 1/12 more scoops of brown sugar than white sugar.

This problem has been solved

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