Question

Which of the following ratio is equal to $3:4$ in its simplest form?

• A. $6:8$
• B. $9:16$
• C. 15:25
• D. 40:60

Answer 1

The correct option is A

$6:8$

Here we have option (i)

$6:8=\frac{6}{8}$

Dividing its numerator and denominator by $2$, we get

$$\begin{gathered} \frac{6}{8}=\frac{6÷2}{8÷2} \\ =\frac{3}{4}or3:4 \end{gathered}$$

Hence OPTION (i) is correct

Now, in option (ii) we have

$9:16=\frac{9}{16}or9:16$

it is in simplest form

Now, In option (iii) we have

$15:25=\frac{15}{25}$

Dividing its numerator and denominator by $5$, we get

$$\begin{gathered} \frac{15}{25}=\frac{15÷5}{25÷5} \\ =\frac{3}{5}or3:5 \end{gathered}$$

Now, in option (iv) we have

$40:60=\frac{40}{60}$

Dividing its numerator and denominator by $20$, we get

$$\begin{gathered} \frac{40}{60}=\frac{40÷20}{60÷20} \\ =\frac{2}{3}or2:3 \end{gathered}$$

Hence, option (i) is correct