Understanding Mixed Number Subtraction
Mixed numbers are numbers that have both whole numbers and fractions.
When subtracting mixed numbers with different denominators, we need to find a common denominator first. This makes the fractions compatible so we can subtract them easily!
Step-by-Step Guide
1️⃣ Convert the mixed numbers to improper fractions
2️⃣ Find a common denominator for the fractions
3️⃣ Subtract the numerators and keep the denominator
4️⃣ Simplify the result if possible
5️⃣ Convert back to a mixed number if needed
Let's Practice Together!
Example 1: Subtract 2 3/4 - 1 1/2
1. Convert to improper fractions:
2 3/4 = 11/4 and 1 1/2 = 3/2
2. Find common denominator (4):
11/4 - 6/4 = 5/4
3. Convert back to mixed number:
5/4 = 1 1/4
Final answer: 1 1/4
Example 2: Subtract 3 2/5 - 1 3/4
1. Convert to improper fractions:
3 2/5 = 17/5 and 1 3/4 = 7/4
2. Find common denominator (20):
17/5 = 68/20 and 7/4 = 35/20
3. Subtract numerators:
68/20 - 35/20 = 33/20
4. Convert back to mixed number:
33/20 = 1 13/20
Final answer: 1 13/20
Parent Tips 🌟
- Kitchen Math: Use measuring cups to demonstrate mixed numbers in real life - subtract 1½ cups from 2¾ cups of flour in a recipe.
- Visual Aids: Draw pizzas or pies divided into different fractions to show why common denominators are needed.
- Step Check: Have your child explain each step out loud - understanding why we convert to improper fractions is key!