11 2/9 - 10 - 1/9 - 8
To solve this expression, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
11 2/9 - 10 - 1/9 - 8
First, we can simplify the middle expression, which is 11 2/9 - 10.
Convert the whole number 11 into a fraction by multiplying it by the denominator of the fraction, which is 9:
11 * 9 = 99
So, we have:
99/9 2/9 - 10 - 1/9 - 8
Now, let's combine the fractions:
99/9 + 2/9 - 1/9 - 8
The denominators are the same, so we can directly combine the numerators:
(99 + 2 - 1)/9 - 8
Now we can simplify the numerator:
99 + 2 - 1 = 100
Therefore, we have:
100/9 - 8
To combine these fractions, we need to find a common denominator, which is 9:
(100 - 8 * 9)/9
Simplify the numerator:
100 - 72 = 28
So, the simplified expression is:
28/9
To solve the expression 11 2/9 - 10 - 1/9 - 8, follow these steps:
Step 1: Begin by simplifying the mixed number 11 2/9 by converting it to an improper fraction:
11 * 9 = 99
99 + 2 = 101
Therefore, 11 2/9 is equivalent to 101/9.
Step 2: Rewrite the expression using the simplified fraction:
101/9 - 10 - 1/9 - 8
Step 3: Combine the fractions with the same denominator:
101/9 - 1/9
101/9 - 1/9 = (101 - 1)/9 = 100/9
Step 4: Subtract the remaining quantities:
100/9 - 10 - 8
Step 5: Combine the whole numbers:
10 - 8 = 2
Step 6: Rewrite the expression using the fractions and the whole number:
100/9 - 2
Step 7: Find a common denominator between 9 and 2, which is 18:
100/9 = 200/18
Step 8: Subtract the fractions:
200/18 - 2
Step 9: Multiply the denominator by the whole number:
2 * 18 = 36
Step 10: Subtract the result from the numerator:
200 - 36 = 164
Step 11: Rewrite the final answer in a simplified fraction form:
164/18
Therefore, the expression 11 2/9 - 10 - 1/9 - 8 is equal to 164/18.