To make the expression \( 18 - 9 \frac{4}{9} + \frac{7}{9} - 8 \) easier to add, it's often helpful to group whole numbers together and fractions together.
Let's evaluate the options:
A. \( (18 - 8) + (9 \frac{4}{9} + \frac{7}{9}) \)
This groups whole numbers and fractions well, making it easier to calculate each part.
B. \( (18 - 9 - 8) + (-\frac{4}{9} + \frac{7}{9}) \)
This option also groups the numbers but isn't as straightforward since subtracting first may complicate it.
C. \( (8 - 18) + (\frac{4}{9} + \frac{7}{9}) \)
This option flips the order of the subtraction, which doesn't help simplify the problem.
D. \( (18 - 9 - 8) \)
This option leaves out the fraction component entirely.
The best choice for simplification is A: \( (18 - 8) + (9 \frac{4}{9} + \frac{7}{9}) \). This option clearly separates the whole number part from the fractional part, making it easier to calculate each segment.
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