## Addition of Fractions Quiz 1

Operations on fractions is one of the concepts that you should master if you want to take the Civil Service Examination.  Although it maybe an elementary concept, but problems in Number Series as well as  in Algebra (such as Word Problems) usually involve fractions. Take your first quiz on Addition of Fractions and see how much you have learned.

Note that more quizzes will come. All the Quiz 1’s in this blog are appetizers — they are the easiest quizzes and they are not as hard are those in actual Civil Service Exams. Quiz 2 and Quiz 3 on every topic will be likely as hard as the actual exams.

[WpProQuiz 5]

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.

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