Add and subtract mixed numbers: word problems

Key notes :

1. Understanding Mixed Numbers:

• A mixed number consists of a whole number and a fraction (e.g., 3 1/4).
• It can be expressed as:

2. Converting Mixed Numbers to Improper Fractions:

• To add or subtract mixed numbers, it’s often easier to first convert them to improper fractions.
• Conversion formula: Improper fraction=(Whole number×Denominator)+Numerator
• Example: Convert 2(1/3) to an improper fraction

3. Adding Mixed Numbers:

• Step 1: Convert both mixed numbers into improper fractions.
• Step 2: Find a common denominator if needed (usually for fractions with different denominators).
• Step 3: Add the improper fractions.
• Step 4: Convert the sum back to a mixed number if necessary.

Example:

4. Subtracting Mixed Numbers:

• Step 1: Convert both mixed numbers into improper fractions.
• Step 2: Find a common denominator if needed.
• Step 3: Subtract the improper fractions.
• Step 4: Convert the result back to a mixed number if necessary.

Example:

5. Word Problems:

• In word problems, carefully read to understand how to represent the mixed numbers.
• Example 1 (Addition):
  • Problem: Emily baked 3 (1/2)cakes, and her friend baked 4 (2/3) cakes. How many cakes did they bake in total?

Learn with an example

let’s practice: