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Fraction Models and Equal Shares Worksheets

Read fraction bars by counting equal parts and identifying the shaded shares. Begin with halves and fourths, add thirds, then use fraction notation to record the shaded amount.

Each bar shows one whole divided into equal-width sections. Ask the learner to describe how the whole is divided before counting the shaded parts or writing a fraction.

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Sample worksheet

mathblog.Example worksheet

Fraction Models and Equal Shares Worksheets

Name __________________Date __________

Try these example questions. Show your thinking.

  1. A rectangle is split into 2 equal parts. What is one part called?
  2. A strip is split into 4 equal parts. What is one part called?
  3. A bar is split into 3 equal parts. What is one part called?
  4. 3 of 8 equal parts are shaded. Write the shaded fraction.
  5. 2 of 4 equal parts are shaded. How many parts are shaded?
  6. 1 of 6 equal parts is shaded. Write the shaded fraction.

Choose your settings to create a fresh set with matching answers.

Check that the shares are equal

Imagine a paper strip folded into four pieces of equal length. Each piece is one fourth, also called one quarter. If three pieces are shaded, the shaded part is three fourths, written \(\frac{3}{4}\).

Each fourth must be the same length. If you cut the strip into four sections of different lengths, those sections do not each represent one fourth. Have the learner point to the whole strip and one share before giving an answer.

Read the numerator and denominator

If a bar has six equal sections and four are shaded, the denominator is 6 because the whole has six equal parts. The numerator is 4 because four of those parts are shaded. Write \(\frac{4}{6}\) to describe the parts in this model. The value is also \(\frac{2}{3}\), but the original fraction tells you the actual counts in this drawing.

Move from words to symbols

For first-grade practice, use halves and fourths and name a share aloud. For second grade, add thirds and describe how many equal shares make the whole. Third-grade learners can connect the shaded count and total count to the numerator and denominator.

Pair the bars with a paper-folding activity when the learner is first exploring equal shares. When they can explain both numbers in a fraction, try Equivalent Fractions Worksheets or create another set in the Fraction Models and Equal Shares Worksheet Generator.

Standards and further reading