Dividing mixed fractions

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Dividing mixed fractions can be easily done in few simple steps. We know that mixed fraction is made up of whole number and a fraction. In order to divide mixed fraction they must be converted into improper fraction. The following steps to be followed in dividing mixed fractions. Convert each mixed fraction into improper fraction. Put the reciprocal of the divisor and multiply with the fraction in the numerator. Simplify the answer if possible.
Convert the result into mixed fraction if it is an improper fraction
 
Example 1: Divide: 9¼ by 3 ½.

 Solution: First convert mixed fraction into improper fraction 

9¼ = (36 + 1) /4 = 37/4

3 ½ = (6 + 1) /2 = 7/2

 9¼ / 3 ½ = (37/4) / (7/2)

Now,  reciprocal the divisor and multiply with the numerator fraction

9¼ / 3 ½ = (37/4) / (7/2) = (37/4)* (2/7)  

Then multiply the numerators and multiply the denominators (37/4)* (2/7)   = 74 / 28

Simplify the answer if possible 74 / 28 = 37/14

This is in improper fraction so convert it into mixed fraction 37/14 = 2 9/14.

 Example 2: Divide 5 ½ by 1 ¾

 Solution: Convert the fractions into improper fractions

5 ½ = 11/2 and 1 ¾ =7/4

Invert the divisor (7/4) = 4/7

Now multiply with the fraction 11/2, 11/2 * 4/7 = 44 / 14

Simplify it, 44/14 = 22/7      (divide by 2 on both sides)

The answer is in improper fraction. So convert it into mixed fraction 22/7 = 3 1/7.


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