Question

write three fractions equivalent to \\(\frac{14}{20}\\). scale the numerator and denominator up for the first two and down for the third.

scale up by: \\(\square\\) equivalent fraction: \\(\frac{\square}{\square}\\)

scale up by: \\(\square\\) equivalent fraction: \\(\frac{\square}{\square}\\)

scale down by: \\(\square\\) equivalent fraction: \\(\frac{\square}{\square}\\)

answer attempt 1 out of 2

Explanation:

Step1: Scale up by 2

To scale up the fraction $\frac{14}{20}$ by 2, we multiply both the numerator and the denominator by 2. So, $14\times2 = 28$ and $20\times2 = 40$. The equivalent fraction is $\frac{28}{40}$.

Step2: Scale up by 3

To scale up the fraction $\frac{14}{20}$ by 3, we multiply both the numerator and the denominator by 3. So, $14\times3 = 42$ and $20\times3 = 60$. The equivalent fraction is $\frac{42}{60}$.

Step3: Scale down by 2

To scale down the fraction $\frac{14}{20}$ by 2, we divide both the numerator and the denominator by 2. So, $14\div2 = 7$ and $20\div2 = 10$. The equivalent fraction is $\frac{7}{10}$.

Answer:

Scale up by: 2
Equivalent fraction: $\frac{28}{40}$

Scale up by: 3
Equivalent fraction: $\frac{42}{60}$

Scale down by: 2
Equivalent fraction: $\frac{7}{10}$

(Note: The scale - up factors can be other non - zero integers as well. For example, scaling up by 4 would give $\frac{14\times4}{20\times4}=\frac{56}{80}$, and scaling down by a common factor of the numerator and denominator is valid as long as the factor divides both 14 and 20. Here we chose 2, 3 for scale - up and 2 for scale - down as simple examples.)