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

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 − 8 − 9)
Left Parenthesis 18 minus 8 minus 9 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 4/9 + 7/9)

1 answer

To make the expression easiest to add, you should group the whole numbers and the fractions separately. The option that achieves that is:

(18 − 8) + (−9 4/9 + 7/9)

This way, you can simplify each part: first computing \(18 - 8\) and then handling the fractions \(-9\frac{4}{9} + \frac{7}{9}\). This will lead to straightforward arithmetic, as it separates the integer addition from the fractional addition.