Question

multiply. use the cross - cancel strategy to simplify the problem. \\(\frac{1}{8} \times \frac{1}{2}\\) answer as a fraction in simplest form. enter the denominator.

Explanation:

Step1: Recall fraction multiplication

To multiply fractions \(\frac{a}{b} \times \frac{c}{d}\), we use \(\frac{a\times c}{b\times d}\). But with cross - cancel, we check if numerators and denominators have common factors. For \(\frac{1}{8} \times \frac{1}{2}\), the numerators are 1 and 1, denominators are 8 and 2. There are no common factors between numerator of one fraction and denominator of the other (except 1), so we multiply directly.

Step2: Multiply numerators and denominators

Multiply the numerators: \(1\times1 = 1\). Multiply the denominators: \(8\times2=16\). So \(\frac{1}{8}\times\frac{1}{2}=\frac{1\times1}{8\times2}=\frac{1}{16}\). The denominator of the simplified fraction is 16.

Answer:

16