Finding Equivalent Fractions Using Bar Models
Equivalent fractions can be tricky at first because two fractions can look different but still represent the same amount. For example, \(\frac{1}{2}\) and \(\frac{2}{4}\) don’t look the same on paper—different numerators, different denominators—but they cover the same part of a whole. That’s where bar models help.
This printable worksheet gives students a visual way to build equivalent-fraction understanding by counting shaded parts on fraction bars. Instead of guessing or memorizing rules right away, students can see what’s happening. Students don’t have to rely on abstract steps first—they can:
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Count total parts to identify the denominator
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Count shaded parts to identify the numerator
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Compare two bars and recognize that the shaded amount matches
This is very helpful for students who are still learning about fractions. It provides a strong visual before they start multiplying or simplifying.
How to Use This Worksheet
Each problem shows two bar models:
Students should:
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Look at the shaded part of the first bar model.
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Look at the second bar model and count how many parts are shaded.
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Write that number as the missing numerator.
This worksheet has 9 problems with denominators up to 12. It’s perfect for fraction lessons in grades 3 and 4.
Where This Fits in a Fraction Unit
This worksheet works well:
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As an intro to equivalent fractions (before rules)
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As practice after a lesson on fraction models
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As review before comparing fractions or adding fractions with unlike denominators
