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Simplifying Fractions

The Fractions are numbers which can be expressed in form of $\frac{p}{q}$, where ‘p’ and ‘q’ are whole Numbers and q ≠ 0. The fractions are called like fractions when we find that the denominators of the fractions are same. Here we will learn about how to simplify fractions.

The fractions can be simplified using the following steps:
  1. If the fraction is in the mixed form convert it into improper fraction.
  2. If the fractions need to be added or subtracted before simplification, then make the all the given fractions into like fractions. Now the positive and the negative terms are added together and we get the value of the fractions after simplification. Further if we find the fraction in the form of improper fraction, the resultant fraction will be converted to the mixed fraction.
  3. If the fractions need to be multiplied or divided before simplification, then perform the operation and the resultant fraction of the multiplication or division should be converted to its lowest form.
Simplifying fractions can be explained by some examples:

Example 1:

$\frac{4}{5}$ + 1$\frac{2}{3}$
= $\frac{4}{5}$ + $\frac{5}{3}$
= $\frac{12}{15}$ + $\frac{10}{15}$
= $\frac{22}{15}$
= 1$\frac{7}{15}$
Example 2:

$\frac{1}{3}$ * 6$\frac{1}{2}$
= $\frac{1}{3}$ * $\frac{13}{2}$
= $\frac{13}{6}$
= 2$\frac{1}{6}$