Question

$I=\frac{3}{4}÷\frac{5}{6}$

$II=3÷$[($4÷5$)$÷6$]
$III=[3÷(4÷5\left)\right]÷6$

$IV=3÷4(5÷6)$

Select the correct option from the following.

• A. I and II are equal
• B. I and IV are equal
• C. I and III are equal
• D. All are equal

Answer 1

The correct option is B I and IV are equal

$I=\frac{3}{4}\times \frac{6}{5}=\frac{9}{10}$

$II=3÷[\frac{4}{5}\times \frac{1}{6}]=3\times \frac{15}{2}=\frac{45}{2}$

$III=[3÷\frac{4}{5}]÷6=3\times \frac{5}{4}\times \frac{1}{6}=\frac{5}{8}$

$IV=3÷4\times \frac{5}{6}=3\times \frac{3}{10}=\frac{9}{10}$

Hence, $I$ and $IV$ are equal.