Add the fractions 1/3,5/6,and 3/6 and reduce your answer to lower terms.
First get a common denominator.
1/3 will become 2/6
(2/6)+(5/6)+(3/6)=
and then reduce.
To add fractions, the first step is to make sure the denominators (the bottom numbers) are the same. In this case, we have 1/3, 5/6, and 3/6.
To find a common denominator, we need to determine the least common multiple (LCM) of the denominators. In this case, the LCM of 3 and 6 is 6.
Now, we need to convert each fraction so that its denominator is 6:
1/3 = (1 × 2) / (3 × 2) = 2/6
5/6 = 5/6 (already has the desired denominator)
3/6 = 3/6 (already has the desired denominator)
Now that all the fractions have the same denominator, we can add them:
2/6 + 5/6 + 3/6 = (2 + 5 + 3) / 6 = 10/6
To reduce the fraction further, we divide both the numerator and denominator by their greatest common divisor (GCD), which is 2:
10/6 = (10 ÷ 2) / (6 ÷ 2) = 5/3
So, the sum of 1/3, 5/6, and 3/6, reduced to the lowest terms, is 5/3.