Fractions on a number lineTo 6
Name: Date:
Mark each fraction on the number line.
145
223
326
412
534
613
Plot fractions on a number line worksheets
The other direction. Here the fraction is printed and the line is empty, so instead of reading a position a child has to produce one — count the equal parts, then count the jumps. Free printable sheets, with an answer key.
If they get stuck
Plot fractions on a number line
The answer key prints on a separate page.
What's on this sheet
PRODUCING A POSITION IS HARDER THAN READING ONE, and that is why this is its own sheet rather than a row on the naming one. Reading a marked point can be done by counting ticks up to the mark; plotting has no mark to count up to, so the denominator has to be found in the line first and the numerator counted out from zero after.
Why this sheet works
Each line is already divided into its own denominator’s worth of equal parts — thirds get three, sixths get six — so the sheet is about the counting rather than about measuring with a ruler. A child who marks 2/6 and 1/3 in the same place has found something worth talking about.
How this one works
Where 4/5 goes on a number line
gaps:5marks:6
each gap:
each gap:
gaps to step:4
- Count the GAPS between the marks, not the marks. A line cut into 5 has 6 marks on it — counting those gives 6, and the answer comes out wrong in a way that still looks like a fraction.
- The bottom number says how many gaps to cut the line into: 5. Cut first, count afterwards — a mark placed before the line is divided is a guess.
- Then the top number says how many of those gaps to move: 4. Start at 0 and step 4 gaps — that is where 4/5 lives, and it is a PLACE rather than a number to write down.