3rd grade equivalent fractions on a number line worksheets
Equivalent fractions on a number line worksheets for 3rd grade show two number lines for each of the 5 problems. The top line marks a fraction. Your child completes the second line so the same point carries a different fraction name, like 2/4 for 1/2. Same whole, same spot. The parent sheet uses fraction bars. This one puts the idea on the line.
Free printable PDF worksheet, aligned to Common Core 3.NF.A.3.b.
Each print is a different sheet with its own answer key. You don't need to sign up.
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The kind of problems you'll get
Complete the second number line to show the same fraction. Keep the same whole.
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Do 1/2 and 2/4 name the same amount?
Answer: Yes: 1/2 = 2/4.
Most problems on this sheet sit beside a picture, model or diagram, so this is the worked example the sheet itself prints. The answer key on page two prints the answer under every problem.
Every print pulls a fresh set of problems at this level, so a make-up test or a second sibling never gets the same sheet.
What's on each sheet
- Equivalent fractions on a number line. Complete the second number line to show the same fraction. Keep the same whole. 5 problems per page.
Every version prints on US Letter or A4, with its answer key after the problems.
This sheet is one of the versions on the 3rd grade equivalent fractions page, with its own difficulty choices and its own answer key.
How to teach this
Put a finger on the marked point on the top line and hold it there while your child looks at the second line. The point does not move. Only the number of equal parts changes. Ask how many parts the second line has, then how many of those parts reach the finger. Say the pair aloud, one half and two fourths, and say that they sit on the same spot. The rule on the sheet says it: equivalent fractions name the same point. If your child tries to stretch or shrink the second line, remind them that both lines run from 0 to 1 and the whole stays the same. One check that works every time: lay a pencil straight down from the top point. It should cross the second line exactly on the mark.
Watch for: Kids think 2/4 is bigger than 1/2 because both numbers are bigger. On the number line the two land on the same point. More parts means smaller parts, and the point does not move. Kids count the tick marks on the second line instead of the spaces between them, and land one hop off. The denominator is the number of equal spaces from 0 to 1, so count gaps, not lines.
Common questions about 3rd grade equivalent fractions on a number line
- How is this different from the equivalent fractions sheet with bars?
- The bar sheet shows two shaded strips and asks for the missing numerator. This one puts the same idea on a number line: two lines and one whole, with one point that has two names. That is the wording of 3.NF.A.3.b, and it is the picture your child will use again when fractions get compared and added.
- Is there an easier version?
- Not for this sheet. It prints at one setting, with 5 problems, and every print draws fresh pairs of lines. If the number line itself is the hard part, a few rounds of the fractions on a number line sheet first will make this one feel familiar.
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Aligned to Common Core 3.NF.A.3.b. Reviewed by the One more sheet team. Content version 241, updated September 2026.
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