what is 174/9 + 5/9 - 8- 10
To solve the expression, follow the order of operations: parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right.
174/9 + 5/9 - 8 - 10
First, divide 174 by 9:
= 19.333...
Next, add the result to 5/9:
= 19.333... + 5/9
To add these fractions, find a common denominator, which is 9:
=(19 * 9 + 5) / 9
=171/9 + 5/9
= (171 + 5) / 9
= 176/9
Now, subtract 8:
= 176/9 - 8
To subtract, convert 8 to a fraction with a denominator of 9:
= 176/9 - 8/1 * 9/9
= 176/9 - 72/9
= (176 - 72) / 9
= 104/9
Lastly, subtract 10:
= 104/9 - 10
To subtract, convert 10 to a fraction with a denominator of 9:
= 104/9 - 10/1 * 9/9
= 104/9 - 90/9
= (104 - 90) / 9
= 14/9
So, the simplified expression is 14/9.
To solve the expression 174/9 + 5/9 - 8 - 10, follow these steps:
Step 1: Simplify the fractions
174/9 + 5/9 = (174 + 5)/9 = 179/9
Step 2: Combine the like terms
179/9 - 8 - 10 = 179/9 - (8 + 10) = 179/9 - 18
Step 3: Find a common denominator for 179/9 - 18
The common denominator for 179/9 - 18 is 9.
Step 4: Rewrite the expression with the common denominator
179/9 - 18 = (179 - (18 * 9))/9 = (179 - 162)/9 = 17/9
So, 174/9 + 5/9 - 8 - 10 equals 17/9.