Class 6 Fractions on the Number Line — practice questions with answers

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

1. To mark the fraction

\frac{1}{4}

on a number line, into how many equal parts is the gap between 0 and 1 divided?

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Answer: C) 4

The denominator 4 tells us to divide the unit gap from 0 to 1 into 4 equal parts.

\frac{1}{4}

is the first mark.

2. On the number line, which fraction is equal to the point representing

\frac{3}{4}

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Answer: A)

\frac{6}{8}

\frac{3}{4} = \frac{6}{8}

, so both land on the same point.

3. On a number line marked in sixths, which point lies the same distance from 0 as

\frac{1}{3}

does?

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Answer: B)

\frac{2}{6}

\frac{1}{3} = \frac{2}{6}

, so the 2nd sixth-mark coincides with

\frac{1}{3}

4. A number line shows marks at every

\frac{1}{3}

.
Priya stands at

\frac{4}{3}

and her friend at

\frac{7}{3}

.
How many whole steps of size

\frac{1}{3}

apart are they?

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Answer: A) 3

\frac{7}{3} - \frac{4}{3} = \frac{3}{3} = 1

whole. Each step is

\frac{1}{3}

, so

1 \div \frac{1}{3} = 3

steps apart.

5. On a number line, A

= \frac{1}{2}

, B

= \frac{3}{4}

and C is a point such that B is exactly the midpoint of A and C.
What fraction does C represent?

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Answer: A) 1

If B is the midpoint of A and C, then

C = 2 B - A = 2 (\frac{3}{4}) - \frac{1}{2} = \frac{3}{2} - \frac{1}{2} = 1

. So C is the point 1.

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