What is the sum of 1/3 and 1/6?

To find the sum of ( \frac{1}{3} ) and ( \frac{1}{6} ), it is important to have a common denominator. The denominators in this case are 3 and 6. The least common denominator (LCD) for these fractions is 6.

We can convert ( \frac{1}{3} ) to sixths. To do this, we multiply both the numerator and the denominator of ( \frac{1}{3} ) by 2:

[

\frac{1}{3} = \frac{1 \times 2}{3 \times 2} = \frac{2}{6}

]

Now we can add ( \frac{2}{6} ) and ( \frac{1}{6} ):

[

\frac{2}{6} + \frac{1}{6} = \frac{2 + 1}{6} = \frac{3}{6}

]

The fraction ( \frac{3}{6} ) can be simplified. Dividing the numerator and denominator by 3 gives us:

[

\frac{3}{6} = \frac{1}{2}

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