How do you group the following expression to make it easiest to add 18 -9 4/9+7/9-8
To group the expression in order to make it easiest to add, you can first combine the whole numbers and fractions separately.
First, add the whole numbers:
18 - 9
Next, add the fractions:
4/9 + 7/9 - 8
Finally, combine the results of both additions.
So, the grouped expression becomes:
(18 - 9) + (4/9 + 7/9 - 8)
To make it easiest to add the expression 18 - 9 + 4/9 + 7/9 - 8, you can group the terms as follows:
(18 - 9) + (4/9 + 7/9) - 8
Now let's simplify each group separately:
18 - 9 = 9
4/9 + 7/9 = (4 + 7)/9 = 11/9
The expression becomes:
9 + 11/9 - 8
Now, let's find a common denominator for the fractions. Since 9 is already the denominator, we don't need to modify it.
9 + 11/9 - 8 can be written as:
9/1 + 11/9 - 8/1
To add fractions, we need a common denominator. In this case, the common denominator is 9.
Now, let's convert each fraction with the common denominator of 9:
(9*9)/9 + 11/9 - (8*9)/9 = 81/9 + 11/9 - 72/9
Now, we can add the fractions:
81/9 + 11/9 - 72/9 = (81 + 11 - 72)/9 = 20/9
Therefore, the simplified expression is 20/9.