Multiplying fractions by integers is straightforward: you multiply the numerator of the fraction by the integer, keeping the denominator unchanged.
Step-by-Step Guide
Here's a breakdown of how to multiply a fraction by an integer:
- Identify the Parts: You have a fraction (numerator over denominator) and an integer (whole number).
- Multiply Numerator: Multiply the numerator of the fraction by the integer.
- Keep Denominator: The denominator of the fraction remains the same.
- Simplify If needed, simplify the new fraction by reducing it to the lowest terms.
Example
Let's multiply 2/5 by the integer 3:
| Operation | Result |
|---|---|
| Initial fraction and integer to multiply: | 2/5 * 3 |
| Multiply the numerator (2) by the integer (3) | 2 * 3 = 6 |
| Keep the denominator the same | 6 / 5 |
| Final answer | 6/5 |
So, 2/5 multiplied by 3 equals 6/5.
Further Clarification
- Whole Number as a Fraction: You can think of any integer (whole number) as a fraction with a denominator of 1. For example, the integer 3 can be written as 3/1.
- Visual Representation: If you are multiplying a fraction by an integer, you can think of it as adding the fraction to itself multiple times. For example, 2/5 * 3 = 2/5 + 2/5 + 2/5.
- Simplified Fractions: Always try to simplify the final fraction to its lowest terms. For example, 4/2 can be simplified to 2/1, or simply 2.
Key Takeaway
As the reference states, "When you're multiplying fractions by an integer (or a whole number) you multiply the numerator of the fraction by the whole number, whilst the denominator of the fraction stays the same". This simple rule is the core concept.
