what is 174/9 + 5/9 - 8- 10

1 answer

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.