three fractions equivalent to start fraction, 10, divided by, 20, end fraction

Question

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. \(\frac{5}{10}\)