add.
1/3+ (-5/6)+(-1/2)
1/3+ (-5/6)+(-1/2)
= 2/6-5/6-3/6
= -6/6
=-1
thanks so much for the help
To add fractions, you need to have a common denominator. The common denominator is the least common multiple (LCM) of the denominators.
Let's find the LCM of 3, 6, and 2:
The multiples of 3: 3, 6, 9, 12, 15, 18, ...
The multiples of 6: 6, 12, 18, ...
The multiples of 2: 2, 4, 6, 8, 10, 12, ...
From the list above, we can see that the LCM of 3, 6, and 2 is 6.
Now we need to adjust the fractions to have a denominator of 6. We do this by multiplying the numerator and denominator of each fraction by a number that makes the denominator equal to 6.
1/3 * 2/2 = 2/6
(-5/6) * 1/1 = -5/6
(-1/2) * 3/3 = -3/6
Now, we can add the fractions:
2/6 + (-5/6) + (-3/6)
Since the denominators are all the same, we can add the numerators directly and keep the denominator:
2 + (-5) + (-3) = -6
So, the result is -6/6.
However, we can simplify this fraction by dividing the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 6 and 6 is 6.
(-6/6) ÷ (6/6) = -1
Therefore, the final result is -1.