AC9M4N03 • Homework

Equivalent Fractions and Decimal Connections worksheet

Use this printable homework sheet for written working, application and reflection alongside the online learning activities.

Open practice

Equivalent amounts: write, model and explain

Complete these tasks on paper or download the matching PDF homework. Show drawings and working to a parent or teacher for feedback.

  1. Sketch two equal bars to show 2/3 = ?/6. Colour matching amounts.

  2. Complete 4/5 = ?/20. Explain how both fraction parts changed.

  3. Write 30/100 as a decimal and as a fraction in tenths.

  4. A cord measures 45 cm. Write its length in metres as a decimal and a fraction with denominator 100.

  5. How many eighth-cup portions equal a quarter-cup? Draw a cup bar to show your reasoning.

  6. Arrange 16 counters in four equal rows. Colour three rows. Write the coloured fraction in sixteenths and quarters. Include a multiplication fact.

  7. Sketch aligned lines from 0 to 1 in fifths and tenths. Mark 1/5 on the first and the same point on the second. Label a decimal too.

  8. Zoe writes 5/10 = 0.05. Explain the error and give two correct decimal names.

Answer and drawing checks

  1. 2/3 = 4/6. Require equal-sized wholes, equal parts and the same shaded amount.

  2. 16/20. Both numerator and denominator are multiplied by 4.

  3. 0.30 = 0.3 = 3/10. Ten hundredths make one tenth.

  4. 0.45 m and 45/100 m. A whole metre is 100 cm.

  5. Two eighth-cup portions. A bar split into 8 equal parts must show 2 of those parts totalling one quarter of the same whole; they need not be adjacent.

  6. 12/16 = 3/4; three rows of four give 3 × 4 = 12. Inspect the array.

  7. 1/5 = 2/10 = 0.2. The points align one fifth of the way from 0 to 1.

  8. Five tenths are 0.5 or 0.50. The decimal 0.05 means five hundredths, a different amount.

Inspect the actual drawings and explanations. A correct label alone does not show that the whole, equal parts or number-line spacing are understood.