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Fraction Number Line Counting

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Fraction Number Line Counting

Matilda, Arjun and Oliver are following a number-line trail around the skate park. Each whole-number gap is split into equal spaces. Read the labels and use the number lines to solve the clues. Fractions count the spaces from the whole number at the left.

Quarter ramps

Each gap on this line is divided into 4 equal parts.

1.On the quarter line, write the fractions at the three tick marks between 1 and 2, in order from left to right.
12
2.Oliver rolls from 2 to 3 and stops at the second quarter tick after 2. What number is he on?
22.252.52.753
3.Arjun says the tick halfway between 3 and 4 is 3¼. Is he correct? Write the correct number and explain briefly.
33.253.53.754

Halves and tenths

Check how equal spaces help you count along a number line.

4.A halves line runs from 4 to 6, with one middle tick in each whole-number gap. What number is at the middle tick between 5 and 6?
44.555.56
5.The tenths line from 0 to 1 has 10 equal spaces. What fraction is at the fifth tick after 0?
00.10.20.30.40.50.60.70.80.91
  • 2/10
  • 5/10
  • 8/10
6.Which tenths fraction is at the same point as ½ on a line from 0 to 1?
00.10.20.30.40.50.60.70.80.91
7.Matilda moves from 6 to 7 in tenths. She passes 3/10, then 4/10, then 5/10. How many tenth spaces has she moved from 6?
66.16.26.36.46.56.66.76.86.97

Fraction trail challenge

Use the number lines to solve the final skate park clues.

8.Put these points in order from smallest to largest: 2¾, 2¼, 2½.
22.252.52.753
9.A marker is at 4¾. How many quarter ticks after 4 is it?
44.254.54.755
10.Draw a number line from 0 to 1 divided into 4 equal spaces. Label every tick with its fraction, including both ends.
00.250.50.751

4 printable pages

  • Fraction Number Line Counting, page 1 of 4: Quarter ramps

    Page 1

  • Fraction Number Line Counting, page 2 of 4: Halves and tenths

    Page 2

  • Fraction Number Line Counting, page 3 of 4: Fraction trail challenge

    Page 3

  • Fraction Number Line Counting, page 4 of 4: 10. Draw a number line from 0 to 1 divided into 4 equal spaces. Label every tick with

    Page 4

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