AC9M4N04 • Homework

Counting with Fractions and Mixed Numerals worksheet

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

Open practice

Count, draw and explain fraction positions

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

  1. Count forwards by quarters from 1 3/4 to 2 3/4. Write every number.

  2. Count backwards by thirds from 3 to 1 2/3. Write every number.

  3. Draw a number line from 2 to 4 in halves. Mark 5/2 and 7/2 and write their mixed numerals.

  4. Draw three aligned lines from 0 to 2: one in halves, one in quarters and one in thirds. Label the point 1 with a fraction on each line.

  5. Draw a line from 1 to 2 in tenths. Mark 1 6/10 and give its improper fraction name.

  6. Draw a line from 0 to 2 in quarters. Start at 1 1/2 and make four quarter-jumps left. Label each landing.

  7. A line from 0 to 2 has ten equal intervals. What is one interval? Explain why it is not 1/10 of a whole unit.

  8. Place 10/3 on a number line between consecutive whole numbers. Write its mixed numeral and explain your position.

Answer and drawing checks

  1. 1 3/4, 2, 2 1/4, 2 1/2, 2 3/4. Accept 2 2/4 for 2 1/2.

  2. 3, 2 2/3, 2 1/3, 2, 1 2/3.

  3. 5/2 = 2 1/2 and 7/2 = 3 1/2. Check four equal half-intervals across the two-unit span.

  4. At 1 the labels are 2/2, 4/4 and 3/3. Each whole must have the stated equal intervals, and the three points must line up.

  5. 1 6/10 = 16/10. Mark the sixth tenth-interval after 1.

  6. 1 1/4, 1, 3/4, 1/2. Require four equal quarter-jumps to the left.

  7. Each interval is 1/5 of a whole unit. Ten intervals cover two wholes, so each whole contains five intervals.

  8. 10/3 = 3 1/3. It is one third after 3, between 3 and 4. Three wholes contain nine thirds.

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