Mastering Fractions × Whole Numbers & Fractions × Fractions
Welcome to our fractions multiplication practice! This lesson will help you master multiplying fractions by whole numbers and multiplying fractions by other fractions. Follow the examples, try the practice problems, and check your solutions to become a fractions expert!
Understanding Fraction Multiplication
Fraction multiplication might seem tricky at first, but with practice, you'll find it straightforward. Let's break it down into two main types:
Fractions × Whole Numbers
To multiply a fraction by a whole number:
- Multiply the numerator by the whole number
- Keep the denominator the same
- Simplify the resulting fraction
Example:
35 × 4 = 3 × 45 = 125 = 225
Fractions × Fractions
To multiply two fractions:
- Multiply the numerators together
- Multiply the denominators together
- Simplify the resulting fraction
Example:
23 × 38 = 2 × 33 × 8 = 624 = 14
Key Points to Remember
- Always simplify your final answer to lowest terms
- Convert improper fractions to mixed numbers
- You can simplify before multiplying by canceling common factors
- Whole numbers can be written as fractions (e.g., 4 = 41)
Practice Problems
Fractions × Whole Numbers
1. 25 × 15
25 × 15 = 2 × 155 = 305 = 6
2. 38 × 12
38 × 12 = 3 × 128 = 368
Simplify: 36 ÷ 48 ÷ 4 = 92
As mixed number: 412
3. 79 × 6
79 × 6 = 7 × 69 = 429
Simplify: 42 ÷ 39 ÷ 3 = 143
As mixed number: 423
4. 512 × 10
512 × 10 = 5 × 1012 = 5012
Simplify: 50 ÷ 212 ÷ 2 = 256
As mixed number: 416
5. 47 × 21
47 × 21 = 4 × 217 = 847 = 12
Fractions × Fractions
6. 12 × 34
12 × 34 = 1 × 32 × 4 = 38
7. 23 × 58
23 × 58 = 2 × 53 × 8 = 1024
Simplify: 10 ÷ 224 ÷ 2 = 512
8. 49 × 310
49 × 310 = 4 × 39 × 10 = 1290
Simplify: 12 ÷ 690 ÷ 6 = 215
9. 78 × 25
78 × 25 = 7 × 28 × 5 = 1440
Simplify: 14 ÷ 240 ÷ 2 = 720
10. 56 × 910
56 × 910 = 5 × 96 × 10 = 4560
Simplify: 45 ÷ 1560 ÷ 15 = 34
Tips for Success
- Practice regularly to build confidence
- Always look for common factors to simplify before multiplying
- Check your answers using the solutions provided
- Remember to convert improper fractions to mixed numbers
- If you make a mistake, review the steps to understand where you went wrong
