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Fractions - Number Lines

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Mathematical Reasoning
Basic Math
1. Number Sense and Operations
1.16 Fractions - Number Lines

Fractions on a Number Line

Learn how to divide a number line into equal parts and plot fractions accurately, from simple fractions to those greater than one.


What You'll Learn

Divide the segment between two whole numbers into equal parts equal to the fraction's denominator.
Count the correct number of equal parts from zero to locate the numerator's position, such as \( \frac{3}{4} \).
Recognize that fractions greater than one, like \( \frac{5}{3} \), fall between two whole numbers on the line.
Compare fractions with different denominators by lining up two number lines and checking which point sits farther right.
Identify equivalent fractions such as \( \frac{2}{4} \) and \( \frac{1}{2} \) landing on the same point on a number line.
Avoid marking unequal-sized partitions, which is the most common error when plotting fractions.

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