Q. What is \( \frac{3}{4} \times \frac{1}{2} \) as a fraction?

Write the problem clearly:

\(\frac{3}{4} \times \frac{1}{2}\)

Recall the rule for multiplying fractions:

To multiply two fractions, multiply the numerators to get the new numerator and multiply the denominators to get the new denominator.

In symbol form: \(\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}\)

Multiply the numerators:

Numerators are 3 and 1, so compute \(3 \times 1 = 3\).

Multiply the denominators:

Denominators are 4 and 2, so compute \(4 \times 2 = 8\).

Form the resulting fraction:

Place the product of the numerators over the product of the denominators: \(\frac{3}{8}\)

Simplify the fraction if possible:

Determine the greatest common divisor of 3 and 8. Since 3 and 8 share no common factors other than 1, the fraction is already in lowest terms. So the simplified result is \(\frac{3}{8}\).

Optional — convert to a decimal:

\(\frac{3}{8} = 0.375\)