Answer:
\(\frac{9}{45}=\frac{8}{40}\)
Step-by-step explanation:
A proportion can be defined as the equality of two ratios. That means we have to find which option is showing equivalent ratios, or equivalent fractions. Let's examine each of them
\(\frac{9}{45}=\frac{8}{40}\\\frac{1}{5}=\frac{1}{5}\)
As you can observe, the first choice represent equivalent raitos, so it must be part of the answer.
\(\frac{8}{12}= \frac{12}{21} \\\frac{2}{3}= \frac{4}{7}\)
This choice doesn't represent a proportion.
\(\frac{8}{12}= \frac{12}{15} \\\frac{2}{3}= \frac{4}{5}\)
The third choice doesn't represent a proportion.
\(\frac{9}{22}= \frac{14}{28}\)
The fourth choice doesn't represent a proportion neither.
Therefore, the right answer is the first option.
\(\frac{9}{45}=\frac{8}{40}\)
