Understanding Fraction Subtraction
Fractions are like pieces of a whole!
When we subtract fractions with different denominators (the bottom numbers), we need to make them the
same first. It's like making sure we're comparing the same size pieces before we take some away!
How to Subtract Fractions with Different Denominators
1️⃣ Find a common denominator (make the bottom numbers the same)
2️⃣ Change both fractions to have this common denominator
3️⃣ Subtract the numerators (the top numbers)
4️⃣ Keep the denominator the same
5️⃣ Simplify your answer if needed
Let's Practice Together!
Example 1: \(\frac{3}{4} - \frac{1}{2}\)
Step 1: Find common denominator. The denominators are 4 and 2. The smallest number both can go into is 4.
Step 2: Change \(\frac{1}{2}\) to fourths: \(\frac{1 \times 2}{2 \times 2} = \frac{2}{4}\)
Step 3: Now subtract: \(\frac{3}{4} - \frac{2}{4} = \frac{1}{4}\)
Answer: \(\frac{1}{4}\)
Example 2: \(\frac{5}{6} - \frac{1}{3}\)
Step 1: Find common denominator. The denominators are 6 and 3. The smallest number both can go into is 6.
Step 2: Change \(\frac{1}{3}\) to sixths: \(\frac{1 \times 2}{3 \times 2} = \frac{2}{6}\)
Step 3: Now subtract: \(\frac{5}{6} - \frac{2}{6} = \frac{3}{6}\)
Step 4: Simplify: \(\frac{3}{6} = \frac{1}{2}\)
Answer: \(\frac{1}{2}\)
Parent Tips 🌟
- Use real-world examples: Cut a pizza or pie to show how fractions with different denominators can be made equal.
- Visual aids help: Use fraction circles or bars to physically show how fractions are converted to common denominators.
- Practice with games: Play fraction subtraction card games where players have to find common denominators to solve problems.