Practice Fraction on a Number Line in Math

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

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. \frac{3}{4} means go 3 of the 4 equal parts from 0.

Example 1

easy
Describe where \frac{3}{5} sits on a number line from 0 to 1.

Example 2

medium
A number line has tick marks at every \frac{1}{8} from 0 to 2. At which tick mark does \frac{11}{8} fall? Between which two whole numbers does it lie?

Example 3

medium
Place \frac{3}{8} on a number line between 0 and 1. Between which two unit fractions does it fall?

Example 4

easy
A number line from 0 to 1 is divided into 6 equal parts. Which point represents \frac{4}{6}, and what is its simplified form?

Example 5

hard
Point P is located \frac{7}{4} units to the right of 0 on a number line. Point Q is \frac{1}{2} unit to the right of P. What fraction names the position of Q?
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