Question

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Explanation:

Step1: Find a common denominator

The denominators are 6 and 10. The least common multiple of 6 and 10 is 30. Convert \(\frac{2}{6}\) and \(\frac{3}{10}\) to fractions with denominator 30.
\(\frac{2}{6}=\frac{2\times5}{6\times5}=\frac{10}{30}\)
\(\frac{3}{10}=\frac{3\times3}{10\times3}=\frac{9}{30}\)

Step2: Add the fractions

Now add the two fractions with the common denominator:
\(\frac{10}{30}+\frac{9}{30}=\frac{10 + 9}{30}=\frac{19}{30}\)

Answer:

\(\frac{2}{6}+\frac{3}{10}=\)
\(=\frac{10}{30}+\frac{9}{30}\)
\(=\frac{19}{30}\)