These comparing fractions worksheets are generated rather than scanned, which means you can print a different sheet every day of the week without paying for a subscription or running out of practice. Right now the generator is set to problems such as 1/2 □ 2/9 (write >, < or =) (answer >) and 1/6 □ 3/10 (write >, < or =) (answer <); press the button again and the numbers change while the skill stays the same.
‘New set of problems’ opens the generator in its own tab. There you can change the problem count and turn the answer key on or off. ‘Print or save as PDF’ opens the print dialog — choose Save as PDF in the printer list to keep the file. The sheet fits US Letter and A4, and the answer key prints on its own page.
The benchmark method is fastest for mental work: decide whether each fraction is below, at or above a half, and a pair like 1/6 □ 3/10 (write >, < or =) resolves with no arithmetic at all.
Comparing fractions is where children discover that a bigger denominator means smaller pieces. Deciding 1/2 □ 2/9 (write >, < or =) correctly — the answer is > — requires that idea, not just a look at the numbers.
Every sheet is regenerated, so the child cannot recognise pairs from yesterday.
There are three reliable methods: common denominators, cross-multiplication, and comparison to a benchmark like one half. This sheet works with all three, and it is worth trying each on the same problem.
Teachers usually place comparing fractions worksheets alongside the fraction comparison expectations for this grade, which is where the skill sits in the majority of US state frameworks.
| # | Problem | Answer | What to check |
|---|---|---|---|
| 1 | 1/2 □ 2/9 (write >, < or =) | > | Watch for: missing equal pairs |
| 2 | 1/6 □ 3/10 (write >, < or =) | < | Check: converting to decimals and rounding too early |
| 3 | 2/3 □ 8/10 (write >, < or =) | < | Look at: cross-multiplying in the wrong direction |
| 4 | 1/3 □ 6/8 (write >, < or =) | < | Ask about: assuming a bigger denominator means a bigger fraction |
| 5 | 1/2 □ 5/6 (write >, < or =) | < | Watch for: comparing by drawing every time |
| 6 | 1/2 □ 2/10 (write >, < or =) | > | Check: comparing numerators only |
Work 1/3 □ 6/8 (write >, < or =) out loud as a demonstration. It gives <. Children who hear 1/3 □ 6/8 (write >, < or =) reasoned through once at the start of a session make noticeably fewer errors in the ten minutes that follow.
A good first problem to do together is 1/2 □ 2/9 (write >, < or =), which comes out at >. Do 1/2 □ 2/9 (write >, < or =) once with the child narrating, then hand over the pencil and start the clock on the other 20 problems.
The key prints on its own page by default. Uncheck the answer-key box before printing if you would rather keep it back and mark the sheet yourself.
Every generated sheet carries its own key on a separate printed page, which lets a child self-mark without seeing the answers while they work.
For a class set, print one sheet, press the new-worksheet button and print again. Each child gets different numbers on the same skill, so nobody can copy the answer to 1/2 □ 2/9 (write >, < or =) from a neighbour.
The sheet is laid out to fit one page on both US Letter and A4. Leave the browser scaling at 100% and turn headers and footers off, and the 20 problems land inside the margins on either paper size.
When these become easy, move along the related links below rather than adding more problems to the same sheet.
Free printable math worksheets from a working math academy director in Korea. Problems come from our own code, not from a published workbook. Every sheet prints on US Letter or A4 with its answer key. All worksheets · Worksheet generator · Korean site
Last updated: 2026-09-13