Understanding Unit Fractions
Unit fractions are special fractions with 1 as the numerator!
A unit fraction represents one equal part of a whole. Examples include \(\frac{1}{2}\), \(\frac{1}{3}\),
\(\frac{1}{4}\), and so on. When we add or subtract unit fractions, we're combining or comparing parts
of wholes.
How to Compare Sums and Differences
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 or smaller
Let's Practice with Examples!
Example 1: Which is greater?
Compare \(\frac{1}{2} + \frac{1}{4}\) and \(\frac{1}{3} + \frac{1}{3}\)
\(\frac{1}{2} + \frac{1}{4}\)
= \(\frac{3}{4}\)
\(\frac{1}{3} + \frac{1}{3}\)
= \(\frac{2}{3}\)
Interactive Example 2: Compare These Fractions
Adjust the fractions and see how they compare:
Parent Tips 🌟
- Use pizza slices or chocolate bars to visually demonstrate how adding smaller fractions can sometimes give a bigger result than adding larger fractions.
- Play "Fraction War" with cards showing unit fractions - compare sums and differences to see whose combination is greater.
- Relate to real-life situations like sharing snacks: "If you get 1/2 of a cookie now and 1/4 later, is that more or less than getting 1/3 now and 1/3 later?"