Fraction on a Number Line Math Example 4

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Example 4

easy
A number line from 00 to 11 is divided into 66 equal parts. Which point represents 46\frac{4}{6}, and what is its simplified form?

Solution

  1. 1
    Count 44 parts from 00: the 4th tick mark represents 46\frac{4}{6}.
  2. 2
    Simplify: gcd⁡(4,6)=2\gcd(4, 6) = 2, so 46=23\frac{4}{6} = \frac{2}{3}.

Answer

46=23 — the 4th tick from 0\frac{4}{6} = \frac{2}{3} \text{ — the 4th tick from 0}
The position on the number line does not change when a fraction is simplified—46\frac{4}{6} and 23\frac{2}{3} name the same point. Simplifying shows that this point is also two-thirds of the way from 0 to 1.

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 1 easy

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

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 5 hard

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

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