Lesson 37: Reading Fractions and Mixed Numbers from a Number Line

New Concept

To name mixed numbers on a number line, we first count the number of segments between consecutive whole numbers.

What’s next

Next, you’ll apply this to determine the value of points and place mixed numbers on various number lines.

Property

To name mixed numbers on a number line, we first count the number of segments between consecutive whole numbers. If there are four segments, each equals $\frac{1}{4}$. If there are six segments, each equals $\frac{1}{6}$. The arrow's position is the whole number to its left plus the number of fractional segments past it.

Example

• An arrow on the third mark between 5 and 6, where there are 4 segments, points to the number $5\frac{3}{4}$. - An arrow on the fifth mark between 20 and 21, where there are 8 segments, points to $20\frac{5}{8}$. - To show $12\frac{1}{2}$ on a number line, you would mark the point exactly halfway between 12 and 13.

Explanation

A number line is like a fraction ruler! Count the spaces between whole numbers for your denominator. Then, count hops past the whole number for your numerator. You've just located a mixed number!