Verified Answer :

The answer is 7:21 = 3:9.

Answer:

Option A.

Step-by-step explanation:

There are two fraction given in this question and we have to write the proportion using colon.

Visually fractions \(\frac{7}{21}\) and \(\frac{3}{9}\) are different but when we simplify these fractions we get the actual relation between them.

We simplify \(\frac{7}{21}\) first.

By dividing from 7 in the numerator and denominator we get

\(\frac{\frac{7}{7}}{\frac{21}{7}}=\frac{1}{3}\)

similarly we simplify the fraction \(\frac{3}{9}\)

By dividing numerator and denominator by 3

\(\frac{\frac{3}{3} }{\frac{9}{3} }=\frac{1}{3}\)

Now we can say that both the fractions are equal.

\(\frac{7}{21}=\frac{3}{9}=\frac{1}{3}\)

So the ratio will be 7 : 21 = 3 : 9

Option A. will be the answer.