Question

Evaluate the expression: $(\frac{1}{4}\div\frac{1}{2})\div(\frac{1}{15}+1-\frac{9}{10})$

• A. 5
• B. 6
• C. 3
• D. 2

Answer 1

Answer:

C. 3

We evaluate step by step:

Step 1: First bracket

$\frac{1}{4} \div \frac{1}{2} = \frac{1}{4} \times 2 = \frac{1}{2}$

Step 2: Second bracket

$\frac{1}{15} + 1 - \frac{9}{10}$

Take LCM of 15 and 10 = 30:

$\frac{1}{15} = \frac{2}{30}, \quad 1 = \frac{30}{30}, \quad \frac{9}{10} = \frac{27}{30}$

So:
$\frac{2}{30} + \frac{30}{30} - \frac{27}{30} = \frac{5}{30} = \frac{1}{6}$

Step 3: Divide results

$\frac{1}{2} \div \frac{1}{6} = \frac{1}{2} \times 6 = 3$