Question

The duplicate ratio of $\frac{1}{6}:\frac{1}{5}$ is ____

• A. $36:25$
• B. $\frac{1}{5}:\frac{1}{6}$
• C. $25:36$
• D. $30:15$

Answer 1

The correct option is C $25:36$

The duplicate ratio of $a:b$ is $a^2:b^2$
$\therefore$ The duplicate ratio of $\frac{1}{6}:\frac{1}{5}$ is ${\left(\frac{1}{6}\right)}^2:{\left(\frac{1}{5}\right)}^2=\left(\frac{1}{36}\right):\left(\frac{1}{25}\right)$
$=\frac{\frac{1}{36}}{\frac{1}{25}}=\frac{25}{36}$.