Fraction on a Number Line Math Example 2

Follow the full solution, then compare it with the other examples linked below.

Example 2

medium
A number line has tick marks at every 18\frac{1}{8} from 00 to 22. At which tick mark does 118\frac{11}{8} fall? Between which two whole numbers does it lie?

Solution

  1. 1
    Convert to a mixed number: 118=138\frac{11}{8} = 1\frac{3}{8}, so it lies between 11 and 22.
  2. 2
    From 11, count 33 eighths to the right: the position is 1+381 + \frac{3}{8}.
  3. 3
    On the number line, 118\frac{11}{8} is the 11th tick mark from 00 (counting eighths), or equivalently the 3rd tick mark after 11.

Answer

118=138 — between 1 and 2, 3 eighths past 1\frac{11}{8} = 1\frac{3}{8} \text{ — between 1 and 2, 3 eighths past 1}
Improper fractions greater than 1 fall to the right of the number 1 on the number line. Converting to a mixed number tells you which pair of whole numbers the fraction lies between, making it easy to locate precisely.

About Fraction on a Number Line

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

Learn more about Fraction on a Number Line →

More Fraction on a Number Line Examples

Example 1 easy

Describe where [formula] sits on a number line from [formula] to [formula].

Example 3 medium

Place [formula] on a number line between 0 and 1. Between which two unit fractions does it fall?

Example 4 easy

A number line from [formula] to [formula] is divided into [formula] equal parts. Which point represe

Example 5 hard

Point [formula] is located [formula] units to the right of [formula] on a number line. Point [formul

← All Fraction on a Number Line Examples Fraction on a Number Line Concept