Q. \( \frac{1}{2} \times 6 \).

Solution

1. Identify “one half” as a fraction:\( \frac{1}{2} \)
2. Write the multiplication:\( \frac{1}{2} \times 6 \)
3. Convert the integer 6 into a fraction (so both factors are fractions):\( 6 = \frac{6}{1} \)Therefore

   \( \frac{1}{2} \times 6 = \frac{1}{2} \times \frac{6}{1} \)

4. Multiply fractions by multiplying numerators and multiplying denominators:\( \frac{1}{2} \times \frac{6}{1} = \frac{1 \times 6}{2 \times 1} \)
5. Compute the products in numerator and denominator:\( \frac{1 \times 6}{2 \times 1} = \frac{6}{2} \)
6. Simplify the fraction by dividing numerator and denominator by their greatest common divisor, which is 2:\( \frac{6}{2} = \frac{6 \div 2}{2 \div 2} = \frac{3}{1} \)
7. Convert the simplified fraction to an integer:\( \frac{3}{1} = 3 \)

Answer: \( 3 \)