Final answer:
To find a fraction equivalent to 1/7 scaled up by a factor of 3, multiply both the numerator (1) and the denominator (7) by 3, resulting in the equivalent fraction 3/21.
Step-by-step explanation:
To scale the numerator and the denominator up by a factor of 3 in order to find a fraction equivalent to 1/7, you simply multiply both the numerator (1) and the denominator (7) by 3. Here is the step-by-step process:
- Multiply the numerator: 1 × 3 = 3.
- Multiply the denominator: 7 × 3 = 21.
- Write the equivalent fraction: 3/21.
Therefore, an equivalent fraction to 1/7 after scaling up by a factor of 3 is 3/21.