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) + (49 + 79)
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) + (−949 + 79)
Left Parenthesis 18 minus 8 Right Parenthesis plus Left Parenthesis negative 9 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) + (−49 + 79)

1 answer

To make the expression \(18 - 9 \frac{4}{9} + \frac{7}{9} - 8\) easiest to add, you should group the integer parts together and the fractional parts together. The best option from your responses is:

(18 − 8) + (−9 \frac{4}{9} + \frac{7}{9}) Left Parenthesis 18 minus 8 Right Parenthesis plus Left Parenthesis negative 9 Start Fraction 4 over 9 End Fraction plus Start Fraction 7 over 9 End Fraction Right Parenthesis

This groups together the integers \(18 - 8\) and the fractions \(-9\frac{4}{9} + \frac{7}{9}\), making it easier to compute each part step by step.