How should you group the following expression to make it easiest to add? 18 − 9 4/9 + 7/9 − 8 (1 point)

Question

Responses

(8 − 18) + (4/9 + 7/9)
Left Parenthesis 8 minus 18 Right Parenthesis plus Left Parenthesis Start Fraction 4 over 9 End Fraction plus Start Fraction 7 over 9 End Fraction Right Parenthesis

(18 − 9 − 8) + (−4/9 + 7/9)
Left Parenthesis 18 minus 9 minus 8 Right Parenthesis plus Left Parenthesis negative Start Fraction 4 over 9 End Fraction plus Start Fraction 7 over 9 Right Parenthesis

(18 − 8 − 9)
Left Parenthesis 18 minus 8 minus 9 Right Parenthesis

(18 − 8) + (−9 4/9 + 7/9)

Answer 1

To make the expression easiest to add, we should focus on grouping similar components together. The expression is \( 18 - 9 \frac{4}{9} + \frac{7}{9} - 8 \).

Let's analyze the options provided:

1. (8 − 18) + (4/9 + 7/9): This groups the numbers incorrectly, as it puts two negative operations together that don't simplify the addition.

2. (18 − 9 − 8) + (−4/9 + 7/9): This is a solid option, simplifying the whole numbers first and grouping the fractions together.

3. (18 − 8 − 9): This only focuses on the whole numbers, ignoring the fractions.

4. (18 − 8) + (−9 4/9 + 7/9): This groups some numbers, but complicates dealing with the fractions.

The best choice among these is (18 − 9 − 8) + (−4/9 + 7/9), as it clearly separates whole numbers from fractions, making it easier to compute both parts.

Final answer: (18 − 9 − 8) + (−4/9 + 7/9).