Question

Which of the following is a proportion?

Answer 1

Answer:

Option C, 14/21=9/21 is the proportion.

Step-by-step explanation:

Given:

a.5/7 = 10/12

b.9/15 = 12/18

c.4/6 = 8/12

d.14/21 = 9/12

We have to find the proportions.

In proportion two ratios are equal, as it has an equality sign in between so both side must be of same ratio in its simplest form.

Let's work with option C

⇒ $\frac{4}{6}=\frac{8}{12}$

To find the simplest form we have to divide the numerator and denominator with same digit (or its factor).

Simplest form of  $\frac{8/2}{12/2}$ = $\frac{4}{6}$ , $\frac{4/2}{6/2}$= $\frac{2}{3}$

Simplest form of $\frac{4}{6}$ = $\frac{2}{3}$

Both sides in option C have equal ratios of 2/3.

So 4/6=8/12 is in proportion.