express the sum of difference in simplest form 1-1/6-11/18=
Change to common denominator, then reduce.
18/18 - 3/18 - 11/18 = ?
Idk
To express the sum of differences in the simplest form, we need to compute the subtraction expressions and then simplify the resulting fraction.
First, let's calculate the difference between 1 and 1/6:
1 - 1/6 = 6/6 - 1/6 = 5/6
Next, let's calculate the difference between 5/6 and 11/18:
5/6 - 11/18
To subtract fractions with different denominators, we need to have a common denominator. In this case, the least common multiple (LCM) of 6 and 18 is 18. We can convert both fractions to have 18 as the denominator:
(5/6) * (3/3) = 15/18
(11/18)
Now we can subtract the fractions:
15/18 - 11/18 = (15 - 11)/18 = 4/18
To simplify the answer, we can find the greatest common divisor (GCD) of the numerator and denominator, which is 2. Dividing both the numerator and denominator by 2 gives us:
4/18 = (4/2) / (18/2) = 2/9
Therefore, the sum of differences 1 - 1/6 - 11/18, in its simplest form, is 2/9.