How to Use Area Models to Add Fractions with Like Denominators
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A step-by-step guide to Using Area Models to Add Fractions with Like Denominators
Here’s a step-by-step guide to help you with this: For additional educational resources,.
Step 1: Understand the concept of an area model
An area model is a visual representation of a mathematical concept using a grid, rectangle, or square. Each section of the model represents a part of the whole, and the entire model represents the total value.
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Step 2: Create a combined area model for both fractions
Since the fractions have like denominators, you can create a single area model to represent both fractions. Draw a rectangle and divide it into equal parts based on the denominator of the fractions.
Example: To add \(\frac{2}{5}\) and \(\frac{3}{5}\):
- Draw a rectangle and divide it into 5 equal parts for the denominator 5.
Step 3: Shade the parts representing each fraction
Shade the number of parts indicated by the numerator of each fraction.
- In the example, shade 2 parts to represent \(\frac{2}{5}\) and 3 more parts to represent \(\frac{3}{5}\).
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Step 4: Add the fractions using the area model
Combine the shaded parts of the area model to represent the sum of the fractions.
- For the example above, the shaded parts from the two fractions (\(\frac{2}{5}\) and \(\frac{3}{5}\)) represent the sum of the fractions.
Step 5: Write the sum as a fraction
Count the total number of shaded parts and write the sum as a fraction with the same denominator as the original fractions. For education statistics and research, visit the National Center for Education Statistics.
- In the example above, there are a total of 5 shaded parts, so the sum is \(\frac{5}{5}\).
Step 6: Simplify the fraction, if necessary
If the fraction can be simplified, do so to express the sum in its simplest form. For education statistics and research, visit the National Center for Education Statistics.
- In this example, \(\frac{5}{5}\) can be simplified to 1.
So, using an area model, we find that \(\frac{2}{5} + \frac{3}{5} = 1\). This method helps to visually demonstrate the addition of fractions with like denominators, making it more accessible and easier to comprehend. For education statistics and research, visit the National Center for Education Statistics.
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