The idea of getting the least common multiple of the denominator in adding dissimilar fractions is to convert them into similar fractions or fractions whose denominators are the same. Once the fractions are similar, you only need to add the numerator and  copy the denominator.

The solutions to Fraction Addition Practice Test 1 below is divided into three parts: (1) getting the least common multiple of the denominator, (2) converting the given fractions to their equivalent fractions whose denominator is the LCM and (3) adding the converted fractions. Of course, in solving this types of problem the Civil Service Exam, you don’t need to go through all the steps. You should try developing your own short cuts to make solving faster.

Solution to Number 1

Given: $\displaystyle \frac{2}{7} + \frac{3}{7}$

$\displaystyle \frac{2}{7} + \frac{3}{7} = \frac{2 + 3}{7} = \frac{5}{7}$

Answer: $\displaystyle \frac{5}{7}$

## Fraction Addition Practice Test 1

In the previous post, we have learned how to add fractions both similar and dissimilar. We have discussed that that in adding similar fractions, we just add the numerator of the addends and copy the denominator. On the other hand, in adding dissimilar fractions, we need to get the least common multiple of the denominator or the least common denominator to be able to convert them to similar fractions.

Below is a practice test on on adding similar and dissimilar fractions.  If you already know how, convert your answers to lowest terms or mixed form.

1. $\displaystyle \frac{2}{7} + \frac{3}{7}$  » Read more