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While making pastries, a bakery used 2/3 of a bag of wheat flour and 5/6 of a bag 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 2/3 of a bag of wheat flour and 5/6 of a bag 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 find out how many bags of flour the bakery used in all, we need to add the fractions that represent the amounts of wheat flour and white flour used.

The bakery used 2/3 of a bag of wheat flour and 5/6 of a bag of white flour.

To add these fractions, we need to find a common denominator. The least common denominator of 3 and 6 is 6.

We rewrite 2/3 as 4/6 so that both fractions have the same denominator.

So, 2/3 (which is the same as 4/6) plus 5/6 equals 9/6.

9/6 is an improper fraction and can be written as a mixed number.

To convert 9/6 to a mixed number, we divide 9 by 6. The quotient is 1 and the remainder is 3. So, 9/6 is the same as 1 3/6.

We can simplify 1 3/6 to 1 1/2 by dividing both the numerator and the denominator of the fraction part by their greatest common divisor, which is 3.

So, the bakery used 1 1/2 bags of flour in all.

This problem has been solved

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