How to Use Area Models to Subtract Fractions with Like Denominators
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A step-by-step guide to Using Area Models to Subtract Fractions with Like Denominators
Here’s a step-by-step guide to using area models to subtract fractions with like denominators:
Step 1: Understand the problem
Make sure you fully understand the fractions you need to subtract. For this example, let’s say we want to subtract \(\frac{5}{6} – \frac{2}{6}\).
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Step 2: Draw the area models
Draw two rectangles of equal size to represent the two fractions you’re subtracting. Label each rectangle with its respective fraction.
Step 3: Divide the area models
Divide each rectangle into equal parts based on the denominator. In our example, both denominators are 6, so divide each rectangle into 6 equal parts.
Step 4: Shade the parts
Shade the parts of the area models based on the numerators. In our example, shade 5 parts of the first rectangle (\(\frac{5}{6}\)) and 2 parts of the second rectangle (\(\frac{2}{6}\)).
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Step 5: Align the area models
Place the second area model (\(\frac{2}{6}\)) directly above or below the first area model (\(\frac{5}{6}\)) with the shaded parts aligned.
Step 6: Subtract the shaded parts
To subtract the fractions, remove the shaded parts of the second rectangle from the shaded parts of the first rectangle. In our example, remove 2 shaded parts (\(\frac{2}{6}\)) from the 5 shaded parts (\(\frac{5}{6}\)), leaving 3 shaded parts. For education statistics and research, visit the National Center for Education Statistics.
Step 7: Write the difference as a fraction
Write the difference using the remaining number of shaded parts as the numerator and the original denominator. In our example, the difference is \(\frac{3}{6}\). For education statistics and research, visit the National Center for Education Statistics.
Step 8: Simplify if necessary
- If the resulting fraction can be simplified, do so. In our example, \(\frac{3}{6}\) simplifies to \(\frac{1}{2}\).
So, using area models, we found that \(\frac{5}{6} – \frac{2}{6}= \frac{1}{2}\). For education statistics and research, visit the National Center for Education Statistics.
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