Question

multiply. write your answer as a fraction in simplest form.
$2 \times \dfrac{3}{10}$

Explanation:

Step1: Convert integer to fraction

We can write \(2\) as \(\frac{2}{1}\). So the expression becomes \(\frac{2}{1} \times \frac{3}{10}\).

Step2: Multiply numerators and denominators

Multiply the numerators: \(2\times3 = 6\). Multiply the denominators: \(1\times10=10\). So we get \(\frac{6}{10}\).

Step3: Simplify the fraction

We find the greatest common divisor (GCD) of \(6\) and \(10\), which is \(2\). Divide both the numerator and the denominator by \(2\): \(\frac{6\div2}{10\div2}=\frac{3}{5}\).

Answer:

\(\frac{3}{5}\)