Question

The sub-duplicate ratio of $\frac{1}{25}:\frac{1}{64}$ is _____

• A. $\frac{1}{5}:\frac{1}{8}$
• B. $5:4$
• C. $\frac{1}{125}:\frac{1}{252}$
• D. $1:1$

Answer 1

The correct option is A $\frac{1}{5}:\frac{1}{8}$

The subduplicate ratio of $a:b$ is $\sqrt{a}:\sqrt{b}$
$\therefore$ The subduplicate ratio of $\frac{1}{25}:\frac{1}{64}$ is $\sqrt{\frac{1}{25}}:\sqrt{\frac{1}{64}}=\frac{1}{5}:\frac{1}{8}$