# Converting Mixed Numbers to Improper Fractions

Fractions are the Numbers which we can written in form of one number divided by another number. Here we express it as $\frac{p}{q}$, so we write ‘p’ as the numerator and ‘q’ as the denominator. Fractions are of three types: proper fraction, improper fraction and mixed fraction. In a proper fraction the numerator is smaller than the denominator whereas in an improper fraction the numerator is greater than the denominator. A mixed fraction has a Whole Number combined with a proper fraction.

The mixed number can be written in the form of an improper fraction. To convert the mixed number to an improper fraction, multiply the denominator of the mixed fraction with the combined whole number and add it the numerator. This value becomes the numerator of the improper fraction and the denominator is the same as that of the mixed fraction.

Some examples to convert the mixed fraction to an improper fraction are:

Example 1:
2$\frac{4}{7}$
= $\frac{(2*7)+4}{7}$
= $\frac{18}{7}$

Example 2:
5$\frac{1}{5}$
= $\frac{(5*5)+1}{5}$
= $\frac{26}{5}$

Example 3:
1$\frac{2}{13}$
= $\frac{(1*13)+2}{13}$
= $\frac{15}{13}$