What is the result of the expression 1/4 + 2/3 + 1/6?

To solve the expression ( \frac{1}{4} + \frac{2}{3} + \frac{1}{6} ), we first need to find a common denominator for all the fractions involved. The denominators are 4, 3, and 6. The least common multiple (LCM) of these is 12.

Next, we convert each fraction to an equivalent fraction with a denominator of 12:

• For ( \frac{1}{4} ), we multiply both the numerator and the denominator by 3:
  ( \frac{1 \times 3}{4 \times 3} = \frac{3}{12} ).

• For ( \frac{2}{3} ), we multiply both the numerator and the denominator by 4:
  ( \frac{2 \times 4}{3 \times 4} = \frac{8}{12} ).

• For ( \frac{1}{6} ), we multiply both the numerator and the denominator by 2:
  ( \frac{1 \times 2}{6 \times 2} = \frac{2}{12} ).

Now we can add