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While making pastries, a bakery used 1 3/4 bags of wheat flour and 2 1/6 bags of white flour. How many bags of flour did the bakery use in all?Write your answer as a fraction or as a whole or mixed number.

Question

While making pastries, a bakery used 1 3/4 bags of wheat flour and 2 1/6 bags of white flour. How many bags of flour did the bakery use in all?Write your answer as a fraction or as a whole or mixed number.

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Solution

To solve this problem, we first need to add the bags of wheat flour and white flour together.

The bakery used 1 3/4 bags of wheat flour and 2 1/6 bags of white flour.

First, let's convert these mixed numbers to improper fractions.

1 3/4 is the same as 7/4 (since 14 + 3 = 7) and 2 1/6 is the same as 13/6 (since 26 + 1 = 13).

So, we need to add 7/4 and 13/6 together.

To add these fractions, we need to find a common denominator. The least common multiple of 4 and 6 is 12.

So, we convert 7/4 to 21/12 (by multiplying both the numerator and denominator by 3) and 13/6 to 26/12 (by multiplying both the numerator and denominator by 2).

Now, we can add these fractions together: 21/12 + 26/12 = 47/12.

47/12 is an improper fraction and it can be converted to a mixed number.

Dividing 47 by 12, we get 3 remainder 11. So, 47/12 is the same as 3 11/12.

Therefore, the bakery used 3 11/12 bags of flour in all.

This problem has been solved

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