Question

$\frac{1}{2}:\frac{3}{4}$ in its simplest form equals

• A. $2:3$
• B. $3:2$
• C. $\frac{3}{4}:\frac{1}{2}$
• D. $\frac{1}{2}:\frac{3}{4}$

Answer 1

The correct option is A $2:3$

Consider the ratio $\frac{1}{2}:\frac{3}{4}$.
The LCM of 2 and 4 is 4. Multiply both $\frac{1}{2}$ and $\frac{3}{4}$ by 4.
Thus, we have $\frac{1}{2}\times 4:\frac{3}{4}\times 4=2:3$
Thus, the most simplified form of $\frac{1}{2}:\frac{3}{4}$ is $2:3$.