Question

\\(\frac{12}{30} + \frac{1}{5} = \frac{\quad}{\quad}\\)
hint: you need to simplify the final answer.

Explanation:

Step1: Find a common denominator

The denominators are 30 and 5. The least common denominator is 30. Rewrite \(\frac{1}{5}\) with denominator 30: \(\frac{1\times6}{5\times6}=\frac{6}{30}\)

Step2: Add the fractions

Now add \(\frac{12}{30}\) and \(\frac{6}{30}\): \(\frac{12 + 6}{30}=\frac{18}{30}\)

Step3: Simplify the fraction

Simplify \(\frac{18}{30}\) by dividing numerator and denominator by their greatest common divisor, which is 6: \(\frac{18\div6}{30\div6}=\frac{3}{5}\)

Answer:

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