Evaluate the expression shown below and write your answer as a fraction in simplest form.
−
8
9
+
11
6
To evaluate the expression -8/9 + 11/6, we need to find a common denominator and then add the fractions together.
The common denominator for 9 and 6 is 18. So we need to rewrite both fractions with this denominator:
-8/9 = -16/18
11/6 = 33/18
Now we can add the fractions together:
-16/18 + 33/18 = 17/18
Therefore, the answer is 17/18.
To evaluate the given expression -8/9 + 11/6, we first need to find a common denominator for the two fractions.
The least common multiple (LCM) of 9 and 6 is 18, so we will convert both fractions to have a denominator of 18.
For the first fraction, we need to multiply both the numerator and denominator by 2:
(-8/9) * (2/2) = -16/18.
For the second fraction, we need to multiply both the numerator and denominator by 3:
(11/6) * (3/3) = 33/18.
Now that both fractions have a denominator of 18, we can combine them:
-16/18 + 33/18 = (33 - 16) / 18 = 17/18.
Therefore, the answer to the expression -8/9 + 11/6 in its simplest form is 17/18.
To evaluate the expression − 8/9 + 11/6, we need to find a common denominator for the two fractions, which is 18.
Now, we will convert both fractions to have a denominator of 18:
- For the first fraction, we multiply the numerator and denominator by 2:
-8/9 * 2/2 = -16/18
- For the second fraction, we multiply the numerator and denominator by 3:
11/6 * 3/3 = 33/18
Now that both fractions have a common denominator, we can add them together:
-16/18 + 33/18 = -16 + 33/18 = 17/18
So, the simplified answer to the expression −8/9 + 11/6 is 17/18.