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Representing fractions with equal parts

Write the fraction shown by the shaded parts of a bar.

Practice + answer key · 3 pages

Worksheet settings8 questions · 2 columns · A4
Number of equal parts

Choose how many equal parts each bar has. At least one part is shaded and at least one is left unshaded.

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mathsprig-1
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04f637b3
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2 pages
Representing fractions with equal partsRepresenting fractions with equal parts. Practice. What fraction of the bar is shaded? Use the number of equal parts shown. What fraction of the bar is shaded? Use the number of equal parts shown. What fraction of the bar is shaded? Use the number of equal parts shown. What fraction of the bar is shaded? Use the number of equal parts shown. What fraction of the bar is shaded? Use the number of equal parts shown. What fraction of the bar is shaded? Use the number of equal parts shown.Name __________________________Date _______________Representing fractions with equal partsWrite the fraction shown by each shaded bar, using its visible equal parts.Worked exampleA bar has 8 equal parts and 3 are shaded. What fraction is shaded? → 3/8Count all 8 equal parts for the denominator.1.What fraction of the bar isshaded? Use the number of equalparts shown.2.What fraction of the bar isshaded? Use the number of equalparts shown.3.What fraction of the bar isshaded? Use the number of equalparts shown.4.What fraction of the bar isshaded? Use the number of equalparts shown.5.What fraction of the bar isshaded? Use the number of equalparts shown.6.What fraction of the bar isshaded? Use the number of equalparts shown.MathSprig · mathsprig.site · support@mathsprig.sitePage 1 of 2mathsprig-1 · mathsprig-v1 · 04f637b3
Representing fractions with equal partsRepresenting fractions with equal parts. Practice. What fraction of the bar is shaded? Use the number of equal parts shown. What fraction of the bar is shaded? Use the number of equal parts shown.Name __________________________Date _______________Representing fractions with equal partsWrite the fraction shown by each shaded bar, using its visible equal parts.7.What fraction of the bar isshaded? Use the number of equalparts shown.8.What fraction of the bar isshaded? Use the number of equalparts shown.MathSprig · mathsprig.site · support@mathsprig.sitePage 2 of 2mathsprig-1 · mathsprig-v1 · 04f637b3
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Practice + answer key · 3 pages

Fractions

What you’ll practice

Connect a shaded part-whole model with its numerator and denominator.

Count all the equal parts to find the denominator, then count the shaded parts to find the numerator. Use the parts shown, even if the fraction could be simplified.

How this skill works

The denominator counts every equal part in the whole. The numerator counts only the shaded parts. Equal size is essential: unequal pieces cannot be counted as equal fractional units.

A bar with 3 shaded parts out of 6 represents 3/6. That is equal to 1/2, but this task asks for the fraction using the shown partition.

Worked example

A bar has 8 equal parts and 3 are shaded. What fraction is shaded?
  1. Count all 8 equal parts for the denominator.
  2. Count 3 shaded parts for the numerator.
  3. The model represents 3/8.

Answer: 3/8

Teaching notes

  • Count unshaded parts too when finding the denominator.
  • Use equivalent fractions later to describe the same amount in another partition.
Practice questions
  1. What fraction of the bar is shaded? Use the number of equal parts shown.

    One equal-length bar divided into 5 equal parts, with the first 1 parts shaded.

  2. What fraction of the bar is shaded? Use the number of equal parts shown.

    One equal-length bar divided into 2 equal parts, with the first 1 parts shaded.

  3. What fraction of the bar is shaded? Use the number of equal parts shown.

    One equal-length bar divided into 2 equal parts, with the first 1 parts shaded.

  4. What fraction of the bar is shaded? Use the number of equal parts shown.

    One equal-length bar divided into 8 equal parts, with the first 2 parts shaded.

  5. What fraction of the bar is shaded? Use the number of equal parts shown.

    One equal-length bar divided into 2 equal parts, with the first 1 parts shaded.

  6. What fraction of the bar is shaded? Use the number of equal parts shown.

    One equal-length bar divided into 2 equal parts, with the first 1 parts shaded.

  7. What fraction of the bar is shaded? Use the number of equal parts shown.

    One equal-length bar divided into 8 equal parts, with the first 2 parts shaded.

  8. What fraction of the bar is shaded? Use the number of equal parts shown.

    One equal-length bar divided into 8 equal parts, with the first 1 parts shaded.

Answers and steps
  1. 1/5
    1. There are 5 equal parts altogether and 1 shaded parts, so the represented fraction is 1/5.
  2. 1/2
    1. There are 2 equal parts altogether and 1 shaded parts, so the represented fraction is 1/2.
  3. 1/2
    1. There are 2 equal parts altogether and 1 shaded parts, so the represented fraction is 1/2.
  4. 2/8
    1. There are 8 equal parts altogether and 2 shaded parts, so the represented fraction is 2/8.
  5. 1/2
    1. There are 2 equal parts altogether and 1 shaded parts, so the represented fraction is 1/2.
  6. 1/2
    1. There are 2 equal parts altogether and 1 shaded parts, so the represented fraction is 1/2.
  7. 2/8
    1. There are 8 equal parts altogether and 2 shaded parts, so the represented fraction is 2/8.
  8. 1/8
    1. There are 8 equal parts altogether and 1 shaded parts, so the represented fraction is 1/8.