Understanding Fraction Comparisons
When fractions have the same denominator (bottom number), comparing them
becomes much easier!
You can focus just on the numerators (top numbers) when adding or subtracting fractions with like
denominators. Remember: the denominator tells us how many equal parts make a whole, so when they're the
same, we're comparing the same-sized pieces!
How to Compare Fraction Sums & Differences
1️⃣ Find the sum or difference of each fraction expression
2️⃣ Compare the results just like regular numbers
3️⃣ Remember - if denominators are equal, you only need to compare numerators!
Let's Practice Together!
Cookie Jar Challenge
The cookie jar had \(\frac{7}{12}\) of cookies left. Sam took \(\frac{2}{12}\) and Mia took \(\frac{3}{12}\). Which is greater: the amount taken (\(\frac{2}{12} + \frac{3}{12}\)) or the amount remaining (\(\frac{7}{12} - \frac{2}{12} - \frac{3}{12}\))?
\(\frac{2}{12} + \frac{3}{12} = \frac{5}{12}\)
\(\frac{7}{12} - \frac{5}{12} = \frac{2}{12}\)
Parent Tips 🌟
- Use food fractions: Cut pizzas, pies, or sandwiches to visually demonstrate how fractions with the same denominators compare when added or subtracted.
- Make it a game: Create fraction cards and have your child draw two cards to add/subtract and compare with another set.
- Real-world connections: Point out fraction comparisons in recipes, measuring cups, or time ("We have \(\frac{1}{4}\) hour before dinner - is that more or less than \(\frac{1}{2}\) hour minus \(\frac{1}{4}\) hour?").