How do you multiply fractions by whole numbers

Multiplying fractions by whole numbers is a straightforward process. Here's how you do it:

### Step-by-Step Process:

1. **Convert the Whole Number to a Fraction**: 
   - A whole number can be written as a fraction by putting it over 1. For example, the whole number 3 can be written as \( \frac{3}{1} \).

2. **Multiply the Numerators**:
   - Multiply the numerator of the fraction by the numerator of the whole number (which is now 1).

3. **Multiply the Denominators**:
   - Multiply the denominator of the fraction by the denominator of the whole number (which is now 1).

4. **Simplify the Result** (if possible):
   - After multiplying, simplify the fraction by dividing the numerator and the denominator by their greatest common divisor (GCD).

### Example:

Let's multiply \( \frac{2}{5} \) by 4.

1. **Convert the whole number 4 to a fraction**:
   \[
   4 = \frac{4}{1}
   \]

2. **Multiply the numerators**:
   \[
   2 \times 4 = 8
   \]

3. **Multiply the denominators**:
   \[
   5 \times 1 = 5
   \]

4. **Put it all together**:
   \[
   \frac{2}{5} \times 4 = \frac{8}{5}
   \]

Since \( \frac{8}{5} \) is an improper fraction, it can also be written as a mixed number:
\[
\frac{8}{5} = 1 \frac{3}{5}
\]

### Summary:
- \( \frac{2}{5} \times 4 = \frac{8}{5} \) or \( 1 \frac{3}{5} \).

Would you like more examples or have any questions?

### Related Questions:
1. How do you convert improper fractions to mixed numbers?
2. What is the process for multiplying mixed numbers?
3. How do you multiply two fractions together?
4. What is the difference between multiplying fractions and dividing fractions?
5. How can you simplify fractions before multiplying?

### Tip:
Always remember to simplify the fraction after multiplying, as it makes the final result easier to understand and use in further calculations.

Learn how to multiply fractions by whole numbers with this detailed step-by-step guide. Understand the process of converting whole numbers to fractions, multiplying numerators and denominators, and simplifying the result. Suitable for students in Grades 4-6.

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