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MathematicsGrade 5· Indiana Academic Standards (IDOE)
Aligned to:Indiana Academic Standards / Common Core (Math)

Fractions on the Number Line

Place, compare, and add fractions using a number line.

Fractions on the Number Line

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Overview

A number line lets us see fractions as distances between whole numbers, making comparisons easy.

A number line from zero to one shows one-half and three-fourths at their correct locations.
A number line from zero to one shows one-half and three-fourths at their correct locations.Source: Illustrated for this lesson

Key Ideas

To compare 3/4 and 2/3, find a common denominator (12): 9/12 and 8/12. The bigger numerator wins. On a number line, the fraction further right is larger.

A number line shows 8/12, or 2/3, to the left of 9/12, or 3/4.
A number line shows 8/12, or 2/3, to the left of 9/12, or 3/4.Source: Illustrated for this lesson

Quick Check

Try explaining the main idea to someone else in your own words — the best test of understanding.