Question

The value of the expression $\frac{1}{0.25} + \frac{2}{0.125} + \frac{4}{0.0625} - \frac{1}{0.5} - \frac{1}{0.05}$ is

• A. 60
• B. 68
• C. 64
• D. 62

Answer 1

Answer:

D. 62

The value of the expression is 62.

To solve this easily, convert each decimal in the denominator into a simple fraction or whole number:

1. First term: $\frac{1}{0.25} = \frac{1}{\frac{1}{4}} = \mathbf{4}$

2. Second term: $\frac{2}{0.125} = \frac{2}{\frac{1}{8}} = 2 \times 8 = \mathbf{16}$

3. Third term: $\frac{4}{0.0625} = \frac{4}{\frac{1}{16}} = 4 \times 16 = \mathbf{64}$

4. Fourth term: $\frac{1}{0.5} = \frac{1}{\frac{1}{2}} = \mathbf{2}$

5. Fifth term: $\frac{1}{0.05} = \frac{1}{\frac{1}{20}} = \mathbf{20}$

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Final Calculation

Substitute these values back into the original expression:
$4 + 16 + 64 - 2 - 20$

Combine the terms:

• $4 + 16 = 20$

• $20 + 64 = 84$

• $84 - 2 = 82$

• $82 - 20 = \mathbf{62}$