Understanding Unit Fractions
A unit fraction is a fraction with 1 as the numerator!
Examples include \(\frac{1}{2}\), \(\frac{1}{3}\), \(\frac{1}{4}\), and so on. When we add unit fractions together, we can compare the sums to see which is larger or smaller. Let's learn how!
How to Compare Sums of Unit Fractions
1️⃣ Find a common denominator for all fractions
2️⃣ Add the fractions to find each sum
3️⃣ Compare the sums to see which is larger
Let's Practice Together!
Example 1: Which is larger?
\(\frac{1}{2} + \frac{1}{4}\)
\(\frac{1}{3} + \frac{1}{3}\)
Example 2: Which is smaller?
\(\frac{1}{5} + \frac{1}{5}\)
\(\frac{1}{3} + \frac{1}{6}\)
Parent Tips 🌟
- Use pizza slices or pie charts to visually demonstrate how different combinations of unit fractions compare in size.
- Start with simple comparisons like \(\frac{1}{2}\) vs. \(\frac{1}{3} + \frac{1}{6}\) before moving to more complex combinations.
- Play fraction war - each player draws two unit fraction cards, adds them, and the largest sum wins the round!