What is the sum of 1/3 and 5/6?

To find the sum of ( \frac{1}{3} ) and ( \frac{5}{6} ), it is essential to express both fractions with a common denominator. The denominators are 3 and 6, and the least common denominator is 6.

First, convert ( \frac{1}{3} ) to an equivalent fraction with a denominator of 6. This is done by multiplying both the numerator and the denominator by 2:

[

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

]

Now, we can sum ( \frac{2}{6} ) and ( \frac{5}{6} ):

[

\frac{2}{6} + \frac{5}{6} = \frac{2 + 5}{6} = \frac{7}{6}

]

To interpret ( \frac{7}{6} ) as a mixed number, we see that ( 7 \div 6 ) yields 1 with a remainder of 1, leading to:

[

\frac{7}{6} = 1 \frac{1}{6}

\