To group the expression \( 18 - 9 + \frac{4}{9} + \frac{7}{9} - 8 \) in a way that makes it easier to evaluate, you can first combine the whole numbers and then deal with the fractions separately.
Here’s how you can group it:
\[ (18 - 9 - 8) + \left(\frac{4}{9} + \frac{7}{9}\right) \]
Now, you can evaluate the groups individually:
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For the whole numbers: \[ 18 - 9 - 8 = 1 \]
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For the fractions: \[ \frac{4}{9} + \frac{7}{9} = \frac{4 + 7}{9} = \frac{11}{9} \]
Now you can combine the results from both groups: \[ 1 + \frac{11}{9} \]
To express this as a single fraction, convert 1 to a fraction with a common denominator: \[ 1 = \frac{9}{9} \]
Now add: \[ \frac{9}{9} + \frac{11}{9} = \frac{20}{9} \]
So the final result of the expression \( 18 - 9 + \frac{4}{9} + \frac{7}{9} - 8 \) is \( \frac{20}{9} \).