Question

The ratio $12:9$ is equivalent to

• A. $4:3$
• B. $2:3$
• C. $4:5$
• D. $2:3$

Answer 1

The correct option is A $4:3$

Given ratio is $12:9$

Write the ratio as a fraction by writing the antecedent of the ratio as the numerator, and the consequent of the ratio as the denominator.
$12:9\to \frac{12}{9}$

Simplifying the fraction, we get
$=\frac{3\times 4}{3\times 3}$
Cancel out the common factors, we get
$=\frac{4}{3}$
$=4:3$

Hence, $12:9$ is equivalent to $4:3.$