Fraction Tiles on a Number Line

Practice simplifying fractions, converting between mixed numbers and improper fractions, and representing fractions using visual models.

Explore simplifying fractions, fraction operations, and mixed-number concepts with these related video lessons.

Choose a denominator family such as halves, fourths, or eighths, then add fraction tiles above the number line.

Drag each tile until it snaps to the nearest fraction location. Turn tick marks on or off to compare different denominator families.

Build one whole, compare equivalent fractions, and explore fractions greater than one by extending to two wholes.

Different fraction tiles can end at the same point on the number line even though they have different numerators and denominators.

Larger denominators create smaller unit fractions, so more pieces are needed to make one whole.

Fractions greater than one can be described as both improper fractions and mixed numbers while representing the same location.

Unit Fraction: A fraction with a numerator of 1.

Equivalent Fractions: Fractions that represent the same value.

Improper Fraction: A fraction whose numerator is greater than or equal to its denominator.

Mixed Number: A whole number combined with a proper fraction.

Number Line: A visual model showing numbers in order using equal spacing.

Equivalent fractions occupy the same location on a number line even though their numerators and denominators are different.

\(\frac12=\frac24=\frac48\)

Fractions greater than one can be written as either improper fractions or mixed numbers without changing their value.

\(\frac74=1\frac34\)

Using tiles on a number line makes it easier to visualize why these different forms represent the same point.

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