Answer:
2/3 - 1/6 is equal to 1/2.
Explanation:
To evaluate 2/3 - 1/6, we need to find a common denominator for the two fractions. The smallest common denominator for 3 and 6 is 6.
We can convert 2/3 to an equivalent fraction with a denominator of 6 by multiplying both the numerator and denominator by 2:
2/3 = (22)/(32) = 4/6
We can leave 1/6 as it is since its denominator is already 6.
Now, we can subtract the two fractions by subtracting the numerators and keeping the denominator the same:
2/3 - 1/6 = 4/6 - 1/6 = (4-1)/6 = 3/6
The fraction 3/6 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 3:
3/6 = (3/3) / (6/3) = 1/2
Therefore, 2/3 - 1/6 is equal to 1/2.