A number line helps students understand that fractions are numbers. They can use it to locate fractions, compare their sizes and find equivalent fractions.
What is a fraction on a number line?
A fraction on a number line represents a point. The space between two whole numbers is divided into equal parts, and each part represents a fraction of the whole.
For example, to place 3/4 on a number line:
1. Divide the space between 0 and 1 into 4 equal parts.
2. Start at 0 and count 3 parts to the right.
3. Mark the point 3/4.
Compare fractions on a number line
A number line shows which fraction is greater. The fraction farther to the right is the greater fraction.
For example, 3/4 is greater than 1/4 because 3/4 is farther to the right.
Find equivalent fractions
Equivalent fractions represent the same amount. On a number line, they appear at the same point.
For example, 1/2 and 2/4 both sit halfway between 0 and 1.
Place fractions greater than 1
Fractions can also be greater than 1. These fractions appear beyond 1 on the number line.
For example, 5/4 is one fourth past 1. It can also be written as the mixed number 1 1/4.
Practice fractions on a number line
Draw a number line from 0 to 1 and divide it into fourths. Ask your child to:
- Mark 1/4 and 3/4. Which fraction is greater?
- Find 2/4. What other fraction names the same point?
- Extend the number line to 2. Where would 5/4 go?
Answers: 3/4 is greater; 2/4 is equal to 1/2; and 5/4 is one fourth past 1.
