Fraction on a Number Line Math Example 1

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

Example 1

easy
Describe where 35\frac{3}{5} sits on a number line from 00 to 11.

Solution

  1. 1
    The denominator is 55, so divide the segment from 00 to 11 into 55 equal parts.
  2. 2
    Each part has length 15\frac{1}{5}. The tick marks are at 15,25,35,45,1\frac{1}{5}, \frac{2}{5}, \frac{3}{5}, \frac{4}{5}, 1.
  3. 3
    The numerator is 33, so count 33 parts from 00: 35\frac{3}{5} is the third tick mark.

Answer

35 is the 3rd of 5 equal divisions between 0 and 1\frac{3}{5} \text{ is the 3rd of 5 equal divisions between 0 and 1}
To place a proper fraction on a number line, use the denominator to decide how many equal parts to create between consecutive whole numbers, then count as many parts as the numerator from the left whole number.

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.

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More Fraction on a Number Line Examples

Example 2 medium

A number line has tick marks at every [formula] from [formula] to [formula]. At which tick mark does

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

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