Question

three fractions equivalent to start fraction, 10, divided by, 20, end fraction
20
10
​
. Scale the numerator and denominator up for the first two and down for the third.

Answer 1

To find three fractions equivalent to \(\frac{10}{20}\), we'll scale the numerator and denominator as instructed.

1. **Scaling up (multiplying)**:
- For the first fraction, let's multiply both the numerator and the denominator by 2:
\[
\frac{10 \times 2}{20 \times 2} = \frac{20}{40}
\]

- For the second fraction, let's multiply both the numerator and the denominator by 3:
\[
\frac{10 \times 3}{20 \times 3} = \frac{30}{60}
\]

2. **Scaling down (dividing)**:
- For the third fraction, let's divide both the numerator and the denominator by 2:
\[
\frac{10 \div 2}{20 \div 2} = \frac{5}{10}
\]

So, the three equivalent fractions are:
1. \(\frac{20}{40}\)
2. \(\frac{30}{60}\)
3. \(\frac{5}{10}\)