Equivalent Fractions & Area Model Worksheets


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Printable “Fraction” Worksheets:
Equivalent Fractions with Area Model
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Equivalent Fractions & Area Model Worksheets

How to use the area model and multiplication to show the equivalence of two fractions?
How to use the area model and division to show the equivalence of two fractions?

Equivalent fractions represent the same quantity or portion of a whole, even though they look different with different numerators and denominators. The area model is a visual tool that can help you understand and create equivalent fractions.

Here’s how the area model works with equivalent fractions:
Imagine a rectangular shape representing the whole. You can subdivide this rectangle into equal-sized rectangles depending on the denominator of the fraction you’re working with.
For a specific fraction, shade a certain number of rectangles according to the numerator. For example, if the fraction is 1/4 (one-fourth), you would shade 1 out of the 4 total rectangles.

Understanding Equivalence with Area Model:
Two fractions are equivalent if they shade the same total area in the model, even if the way they subdivide the whole (denominator) is different.
Imagine you can cut the squares (or shapes) in the model into smaller pieces. By doing this, you can create more total squares (increasing the denominator) but still maintain the same shaded area (numerator) if you shade the same proportion of the smaller squares.

Have a look at this video if you need help on how to find equivalent fractions using the area model.



Click on the following worksheet to get a printable pdf document.
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Equivalent Fractions & Area Model Worksheet
 

More Equivalent Fractions & Area Model Worksheets

Printable
(Answers on the second page.)
Equivalent Fractions & Area Model Worksheet #1 (multiplication)
Equivalent Fractions & Area Model Worksheet #2 (multiplication)
Equivalent Fractions & Area Model Worksheet #3 (multiplication)
Equivalent Fractions & Area Model Worksheet #4 (division)
Equivalent Fractions & Area Model Worksheet #5 (division)
Equivalent Fractions & Area Model Worksheet #6 (division)
Equivalent Fractions & Area Model Worksheet #7 (division)

Equivalent Fractions & Area Model
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