Question

(\frac{4}{8} \times \frac{12}{16} =)

Explanation:

Step1: Multiply numerators and denominators

Multiply the numerators \(4\) and \(12\), and the denominators \(8\) and \(16\). So we get \(\frac{4\times12}{8\times16}=\frac{48}{128}\).

Step2: Simplify the fraction

Find the greatest common divisor (GCD) of \(48\) and \(128\), which is \(16\). Divide both the numerator and denominator by \(16\): \(\frac{48\div16}{128\div16}=\frac{3}{8}\). (Alternatively, we can simplify before multiplying: \(\frac{4}{8}=\frac{1}{2}\), \(\frac{12}{16}=\frac{3}{4}\), then \(\frac{1}{2}\times\frac{3}{4}=\frac{3}{8}\))

Answer:

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