Subtracting mixed Fractions

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Mixed fractions are the numbers which are formed as a combination of a whole number and a proper fraction. A proper fraction is a fraction where the number in the denominator is greater than the number in the numerator. Subtracting mixed fractions involves converting a mixed fraction to an improper fraction (fraction where the number in the numerator is greater than the number in the denominator is an improper fraction). After calculating the answer, the improper fraction should be converted back into its mixed fraction form.

Example 1: Subtract the mixed fractions, 6 2/3 – 41/3.

First convert the given mixed fractions to improper fractions.

This implies: 6 2/3 = [(3 * 6) + 2]/ 3 = 20/3.

Similarly, 4 1/3 = [(3 * 4) + 1]/ 3 = 13/3.

Subtract the above two improper fractions: 20/3 – 13/3 = (20 – 13)/ 3 = 7/3.

Now converting 7/3 to mixed fraction, we do the long division which gives quotient as ‘2’ and remainder as ‘1’==> 2 1/3.

Therefore, 6 2/3 – 41/3 = 2 1/3.

Example 2: Subtract the mixed fractions, 2 4/5 – 1 3/5.

First convert the given mixed fractions to improper fractions.

This implies: 2 4/5 = [(5 * 2) + 4]/ 5 = 14/5.

Similarly, 1 3/5 = [(5 * 1) + 3]/ 5 = 8/5.

Subtract the above two improper fractions: 14/5 – 8/5 = (14 – 8)/ 5 = 6/5.

Now converting 6/5 to mixed fraction, we do the long division which gives quotient as ‘1’ and remainder as ‘1’==> 1 1/5.

Therefore, 2 4/5 – 1 3/5 = 1 1/5.