To make the expression \( 18 - 9 \frac{4}{9} - 8 \) easiest to add, it's beneficial to group whole numbers together and combine the fractional parts.
The best way to group this expression would be:
\( (18 - 8) + (-9 \frac{4}{9}) \)
However, since that option is not available in your responses, let's evaluate the given options:
- \( ( 18 - 9 - 8 ) + ( - 4/9 + 7/9) \)
- \( ( 18 - 8 ) + ( 9 \frac{4}{9} + 7/9 ) \)
- \( ( 18 - 8 - 9) \)
- \( ( 8 - 18 ) + (4/9 + 7/9) \)
The first option simplifies the whole number substitution nicely, allowing you to then handle the fractions independently. So while all options have some form of grouping, the first option keeps the whole numbers together and separates ultimately the fractions, making it relatively effective.
Thus, the best choice is: ( 18 - 9 - 8 ) + ( - 4/9 + 7/9 )
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