Question

evaluate:
\frac{2}{6} \times \frac{4}{5}
provide an answer as a simplified fraction or mixed number.
skill code: 212009

Explanation:

Step1: Multiply numerators and denominators

To multiply two fractions \(\frac{a}{b}\) and \(\frac{c}{d}\), we use the rule \(\frac{a}{b} \times \frac{c}{d}=\frac{a\times c}{b\times d}\). So for \(\frac{2}{6} \times \frac{4}{5}\), we multiply the numerators \(2\) and \(4\), and the denominators \(6\) and \(5\).
\(\frac{2\times4}{6\times5}=\frac{8}{30}\)

Step2: Simplify the fraction

We simplify \(\frac{8}{30}\) by finding the greatest common divisor (GCD) of \(8\) and \(30\). The GCD of \(8\) and \(30\) is \(2\). We divide both the numerator and the denominator by \(2\).
\(\frac{8\div2}{30\div2}=\frac{4}{15}\)

Answer:

\(\frac{4}{15}\)