How is this different from the numeric 4th grade sheet?

The main 4th grade sheet works from numbers alone, 3/5 as twentieths, with no picture. This one keeps the bars, so the same rule, multiply top and bottom by one factor, can be checked by eye. Use it when a numeric answer comes out wrong and neither of you can say why. The bars settle it.

Didn't my child do bars in 3rd grade?

Yes, and this is the step after. The 3rd grade sheet shows two bars already matched and asks for the missing numerator. Here the second bar is empty, and your child decides how many parts to shade and shades them. Doing the shading is what 4.NF.A.1 means by explaining why two fractions are equivalent.

How many problems, and what settings?

Six problems per print, each a pair of bars, at one setting. Every print draws a new set of pairs, so a redo is not a repeat. The Remember box on the sheet carries the rule and the worked example shows 2/3 written in sixths, so the page stands on its own when you are short on time.

4th grade equivalent fractions with models

4th grade equivalent fractions with models worksheets

Equivalent fractions with models worksheets for 4th grade draw two fraction bars for each of the 6 problems. The first bar is shaded. The second is cut into a different number of equal parts, and your child shades as many as it takes to show the same amount. Both bars are one whole. One setting per print. The numeric sheet has no picture.

Free printable PDF worksheet, aligned to Common Core 4.NF.A.1.

Each print is a different sheet with its own answer key. You don't need to sign up.

The kind of problems you'll get

How many equal parts of the second bar must be shaded to match the first? Each bar is one whole.

Write 2/3 in sixths.
Answer: 2/3 = 4/6. Multiply both parts by 2.

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 with models. How many equal parts of the second bar must be shaded to match the first? Each bar is one whole. 6 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 4th grade equivalent fractions page, with its own difficulty choices and its own answer key.

How to teach this

Cover the numbers and look at the bars first. Ask how many small pieces of the second bar fit inside one shaded piece of the first. That count is the factor, and the Remember box names the rule: multiply top and bottom by the same number. Have your child shade the second bar, then check it by eye. The shaded lengths should line up exactly, since both bars are one whole. If they do not match, the picture has caught the error before the numbers did. Then say the pair aloud: two thirds, four sixths, same amount. The sheet's worked example, 2/3 in sixths, is a good one to trace together first. Watch for a child who shades the same number of pieces instead of the same length. Four sixths is four pieces, not two.

Watch for: Kids shade the same number of pieces on the second bar as on the first, so 2/3 becomes 2/6. The shaded lengths must match, not the piece counts. Smaller pieces means more of them. Kids add the same number to the top and bottom, so 2/3 in sixths becomes 5/6, and the second bar comes out longer than the first. Multiplying both parts by 2 gives 4/6, and the shaded lengths match.

Common questions about 4th grade equivalent fractions with models

How is this different from the numeric 4th grade sheet?: The main 4th grade sheet works from numbers alone, 3/5 as twentieths, with no picture. This one keeps the bars, so the same rule, multiply top and bottom by one factor, can be checked by eye. Use it when a numeric answer comes out wrong and neither of you can say why. The bars settle it.
Didn't my child do bars in 3rd grade?: Yes, and this is the step after. The 3rd grade sheet shows two bars already matched and asks for the missing numerator. Here the second bar is empty, and your child decides how many parts to shade and shades them. Doing the shading is what 4.NF.A.1 means by explaining why two fractions are equivalent.
How many problems, and what settings?: Six problems per print, each a pair of bars, at one setting. Every print draws a new set of pairs, so a redo is not a repeat. The Remember box on the sheet carries the rule and the worked example shows 2/3 written in sixths, so the page stands on its own when you are short on time.

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Aligned to Common Core 4.NF.A.1. Reviewed by the One more sheet team. Content version 241, updated September 2026.

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