Understanding Unit Fractions
Unit fractions are special fractions with 1 as the numerator!
A unit fraction looks like \(\frac{1}{2}, \frac{1}{3}, \frac{1}{4},\) etc. When we add or subtract them,
we get interesting combinations. Today we'll learn how to compare these combinations to see which is
larger or smaller.
How to Compare Fraction Combinations
1️⃣ Find a common denominator for all fractions involved
2️⃣ Convert each fraction to have this common denominator
3️⃣ Compare the numerators to see which is larger
Let's Try Some Examples!
Example 1: Which is larger? \(\frac{1}{2} + \frac{1}{4} or \frac{1}{3} + \frac{1}{3}\)
Let's visualize these fractions:
Total: \(\frac{3}{4}\)
Total: \(\frac{2}{3}\)
Now let's compare \(\frac{3}{4}\ and\ \frac{2}{3}\). The common denominator is 12.
\(\frac{3}{4} = \frac{9}{12}\ and\ \frac{2}{3} = \frac{8}{12}\)
\(\frac{9}{12} > \frac{8}{12}, so\ \frac{1}{2} + \frac{1}{4} \ is \ larger!\)
Example 2: Interactive Comparison
Compare these two combinations:
\(\frac{1}{2} - \frac{1}{4}\)
\(\frac{1}{3} + \frac{1}{6}\)
Parent Tips 🌟
- Kitchen fractions: Use measuring cups to demonstrate adding and subtracting unit fractions (½ cup + ¼ cup = ¾ cup).
- Fraction war: Create cards with fraction combinations and have your child compare them to see which is larger.
- Real-world examples: Point out fraction combinations in recipes or when dividing treats to make learning practical.