Practice Fraction on a Number Line in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

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Quick Recap

Locating and representing a fraction as a precise point on a number line by dividing the unit interval into equal parts.

Divide the space between 0 and 1 into equal parts. 34\frac{3}{4} means go 3 of the 4 equal parts from 0.

Showing a random 20 of 50 problems.

Example 1

easy
On a number line split into eighths from 0 to 1, what fraction is halfway, at the 4th mark?

Example 2

easy
The segment from 0 to 1 is split into 4 equal parts. Where is 34\frac{3}{4}?

Example 3

easy
Is 12\frac{1}{2} to the left or right of 14\frac{1}{4} on a number line?

Example 4

easy
What number is at the 2nd mark on a 0-to-1 line split into thirds (using improper form if needed)?

Example 5

hard
Which is greater on the number line: 712\frac{7}{12} or 58\frac{5}{8}?

Example 6

medium
On a number line from 00 to 22 split into fourths, locate 54\frac{5}{4}.

Example 7

medium
A line runs 0 to 3, split into halves. What mixed number is at the 5th mark?

Example 8

medium
Between 1 and 2, a line is split into thirds. What fraction is the 1st mark after 1?

Example 9

medium
Point PP is 23\frac{2}{3} unit to the right of 16\frac{1}{6}. What is the position of PP?

Example 10

easy
On a 00-to-22 number line split into eighths, where is 118\frac{11}{8}?

Example 11

hard
Point XX is at 310\frac{3}{10} and point YY is at 710\frac{7}{10} on a number line. What point splits XYXY into thirds, closer to XX?

Example 12

easy
Order these by left-to-right position: 14\frac{1}{4}, 0, 34\frac{3}{4}.

Example 13

medium
On a 00-to-11 number line split into eighths, which tick equals 34\frac{3}{4}?

Example 14

medium
Place 25\frac{2}{5} on a number line. Between which two consecutive halves (0, 12\frac{1}{2}, 1) does it fall?

Example 15

challenge
On a number line from 00 to 11, four equally spaced points lie strictly between 15\frac{1}{5} and 45\frac{4}{5}. What are their positions?

Example 16

medium
A point sits exactly halfway between 14\frac{1}{4} and 34\frac{3}{4}. What fraction is it?

Example 17

medium
Point AA is at 14\frac{1}{4} and point BB is at 58\frac{5}{8} on a number line. What is the distance from AA to BB?

Example 18

hard
A number line from 00 to 11 is divided into 2020 equal parts. Which tick(s) coincide with 25\frac{2}{5} and 34\frac{3}{4}?

Example 19

medium
Point QQ is 14\frac{1}{4} unit to the left of 23\frac{2}{3} on the number line. Find QQ.

Example 20

easy
Between which two whole numbers is 73\frac{7}{3} on the number line?
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