What is the sum of the fractions (2/3) + (1/6)?

To find the sum of the fractions ( \frac{2}{3} ) and ( \frac{1}{6} ), it is essential to have a common denominator. The least common multiple of the denominators 3 and 6 is 6.

First, we convert ( \frac{2}{3} ) to an equivalent fraction with a denominator of 6. We do this by multiplying both the numerator and the denominator of ( \frac{2}{3} ) by 2:

[

\frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6}

]

Now we can add the two fractions:

[

\frac{4}{6} + \frac{1}{6} = \frac{4 + 1}{6} = \frac{5}{6}

]

Thus, the correct answer to the sum ( \frac{2}{3} + \frac{1}{6} ) is ( \frac{5}{6} ). This result represents the total amount when combining the two fractions together.