Class 6 Addition and Subtraction of Fractions — practice questions with answers

Fractions · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.

1. Add:

\frac{1}{5} + \frac{2}{5}

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Answer: A)

\frac{3}{5}

Like fractions: add numerators, keep denominator. 1 + 2 = 3, so

\frac{1}{5} + \frac{2}{5} = \frac{3}{5}

2. Add:

\frac{1}{3} + \frac{1}{3} + \frac{1}{3}

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Answer: C) 1

\frac{1}{3} + \frac{1}{3} + \frac{1}{3} = \frac{3}{3} = 1

3. Subtract:

\frac{5}{6} - \frac{3}{4}

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Answer: A)

\frac{1}{12}

LCM of 6 and 4 is 12.

\frac{5}{6} = \frac{10}{12}

\frac{3}{4} = \frac{9}{12}

\frac{10}{12} - \frac{9}{12} = \frac{1}{12}

4. From a 2-metre cloth, a tailor in Surat used

\frac{5}{6}

m for a kurta
and

\frac{3}{4}

m for a shirt.
What length of cloth, in metres, remains?

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Answer: A)

\frac{5}{12}

Used =

\frac{5}{6} + \frac{3}{4} = \frac{10}{12} + \frac{9}{12} = \frac{19}{12}

. Remaining =

2 - \frac{19}{12} = \frac{24}{12} - \frac{19}{12} = \frac{5}{12}

5. A relay race in Chennai has three runners. The first runs

\frac{3}{8}

of the route,
the second runs

\frac{1}{4}

of the route, and the third runs the rest.
What fraction of the route does the third runner cover?

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Answer: A)

\frac{3}{8}

First + second =

\frac{3}{8} + \frac{1}{4} = \frac{3}{8} + \frac{2}{8} = \frac{5}{8}

. Third =

1 - \frac{5}{8} = \frac{3}{8}

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