To solve the expression 6/27 + 13/9 + 1/3 - 2, we need to find a common denominator for the fractions involved. In this case, the common denominator is 27, which is a multiple of 9 and 3.
Let's rewrite the expression with a common denominator: (6/27) + (13/9) + (1/3) - 2
Now, let's simplify each fraction: 6/27 = 2/9 (Divide both the numerator and denominator by their greatest common divisor, which is 3) 13/9 (Already in simplified form) 1/3 (Already in simplified form)
Now, we can substitute the simplified fractions back into the expression: 2/9 + 13/9 + 1/3 - 2
Next, we can add the numerators of the fractions together since they now have a common denominator: (2 + 13 + 3)/9 - 2
Simplifying further: 18/9 - 2
Since both 18 and 9 are divisible by 9, we can simplify: 2 - 2
Finally, subtract: 0
Therefore, the result of the expression 6/27 + 13/9 + 1/3 - 2 is 0.