Question

multiply: $2 \times \frac{1}{12}$ provide an answer as a simplified fraction or mixed number.

Explanation:

Step1: Multiply integer and numerator

To multiply \(2\) (an integer) by \(\frac{1}{12}\), we can think of \(2\) as \(\frac{2}{1}\). Then, when multiplying fractions, we multiply the numerators together and the denominators together. So, \(2\times\frac{1}{12}=\frac{2\times1}{1\times12}=\frac{2}{12}\).

Step2: Simplify the fraction

We simplify \(\frac{2}{12}\) by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of \(2\) and \(12\) is \(2\). We divide both the numerator and the denominator by \(2\): \(\frac{2\div2}{12\div2}=\frac{1}{6}\).

Answer:

\(\frac{1}{6}\)