Q. \(\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\).

Solution

1. Write the expression to evaluate:\( \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \)
2. Use the rule for multiplying fractions: multiply the numerators together and the denominators together.Numerator: \(1 \times 1 \times 1 = 1\)Denominator: \(2 \times 2 \times 2 = 8\)

   So the product is \(\frac{1}{8}\).

3. Alternative (stepwise) method: multiply two at a time.\( \frac{1}{2} \times \frac{1}{2} = \frac{1}{4} \)Then \( \frac{1}{4} \times \frac{1}{2} = \frac{1}{8} \).
4. Check for simplification: \(\frac{1}{8}\) has numerator 1, so it is already in lowest terms.
5. Optional decimal form: \(\frac{1}{8} = 0.125\).

Final answer: \(\frac{1}{8}\) (which equals 0.125).