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Fractions worksheets

Read, compare and calculate with fractions.

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Begin with the whole and its equal parts. Use bars and number lines to explain what a fraction means, then move to equivalent fractions and calculations when those parts make sense.

Where to start

  1. Representing fractions with equal parts

    Start with equal-sized parts of one bar. Ask the learner to count all parts before counting the shaded parts.

  2. Equivalent fractions

    Connect different partitions of the same amount. Scale the numerator and denominator together, and explain why the value stays the same.

  3. Adding and subtracting unlike denominators

    Move to unlike denominators after equivalence makes sense. Rename both fractions in the same unit before combining them.

Choose a worksheet

12 skills

Check understanding

Explain why 1/3 + 1/6 equals 1/2.

1/3 = 2/6, so 2/6 + 1/6 = 3/6 = 1/2.

Sixths are the common unit. Adding the original denominators would change the size of the parts rather than count how many parts are present.

Teaching notes

If the learner adds numerators and denominators separately, return to equal units and equivalence. If comparison is uncertain, use fractions on number lines before calculation. The fraction-model sheet asks for the shown partition; the simplifying sheet specifically asks for lowest terms.

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