To multiply a fraction by an integer, you multiply the numerator (the top number) of the fraction by the integer, and keep the same denominator (the bottom number).
Steps to Multiply a Fraction by an Integer:
- Identify the Fraction and the Integer: Determine the fraction and the integer you want to multiply.
- Multiply the Numerator by the Integer: Multiply the numerator of the fraction by the integer.
- Keep the Denominator the Same: The denominator of the resulting fraction will be the same as the original fraction.
- Simplify the Result (if possible): Simplify the resulting fraction to its lowest terms.
Example:
Let's multiply 1/3 by 5.
- Fraction: 1/3
- Integer: 5
- Multiply Numerator: 1 * 5 = 5
- Keep Denominator: The denominator remains 3.
- Result: 5/3
Therefore, 1/3 multiplied by 5 equals 5/3. This can also be expressed as the mixed number 1 2/3.
Explanation:
Multiplying a fraction by an integer is like adding that fraction to itself multiple times. For example, multiplying 1/3 by 5 is the same as adding 1/3 to itself five times:
1/3 + 1/3 + 1/3 + 1/3 + 1/3 = 5/3
Tips:
- Always simplify the resulting fraction if possible. This makes the answer easier to understand.
- If the resulting fraction is an improper fraction (numerator is greater than the denominator), convert it to a mixed number.
