Question

write three fractions equivalent to \\(\frac{9}{18}\\). 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 $\frac{9}{18}$ by 2, we multiply both the numerator and the denominator by 2. So, $9\times2 = 18$ and $18\times2 = 36$. The equivalent fraction is $\frac{18}{36}$.

Step2: Scale up by 3

To scale up the fraction $\frac{9}{18}$ by 3, we multiply both the numerator and the denominator by 3. So, $9\times3 = 27$ and $18\times3 = 54$. The equivalent fraction is $\frac{27}{54}$.

Step3: Scale down by 9

To scale down the fraction $\frac{9}{18}$ by 9, we divide both the numerator and the denominator by 9. So, $9\div9 = 1$ and $18\div9 = 2$. The equivalent fraction is $\frac{1}{2}$.

Answer:

Scale up by: 2 Equivalent fraction: $\frac{18}{36}$
Scale up by: 3 Equivalent fraction: $\frac{27}{54}$
Scale down by: 9 Equivalent fraction: $\frac{1}{2}$

(Note: There are other possible values for scaling up or down, for example, scaling up by 4 would give $\frac{36}{72}$, and scaling down by 3 would give $\frac{3}{6}$, etc. The above is just one set of valid answers.)