How to Use Area Models to Subtract Fractions with Like Denominators
Area models are visual representations that can help students understand fraction subtraction.
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 \(\frac{5}{6} – \frac{2}{6}\).
The Absolute Best Book for 4th Grade Students
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 (\(\frac{2}{6}\)).
A Perfect Book for Grade 4 Math Word Problems!
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.
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 \(\frac{3}{6}\).
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 \(\frac{5}{6} – \frac{2}{6}= \frac{1}{2}\).
The Best Math Books for Elementary Students
Related to This Article
More math articles
- How to Master the Intricacies of the Coordinate Plane
- How to Order Fractions: Step-by-Step Guide
- FREE HiSET Math Practice Test
- 10 Most Common Praxis Core Math Questions
- What Kind of Math Is on the AFOQT Test?
- How to Calculate the Surface Area of Pyramids and Cones
- How to Solve Percent Problems? (+FREE Worksheet!)
- How to Find the Number of Solutions to a System of Equations by Graphing
- How to Add and Subtract Complex Numbers? (+FREE Worksheet!)
- Ratio, Proportion and Percentages Puzzle – Challenge 24
What people say about "How to Use Area Models to Subtract Fractions with Like Denominators - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.