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

Question

Responses

(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

(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 − 9 − 8) + (−49 + 79)
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

Answer 1

To make the expression $18-9\frac{4}{9}+\frac{7}{9}-8$ easiest to add, it's beneficial to group the whole numbers and the fractional parts separately.

Let's rewrite the expression:

$$18-8-9\frac{4}{9}+\frac{7}{9}$$

The whole numbers we want to group together are $18$, $-8$, and $-9$, while the fractions $-\frac{4}{9}$ and $+\frac{7}{9}$ can be grouped separately.

Thus, the best grouping is:

$$(18-8-9)+(-9\frac{4}{9}+\frac{7}{9})$$

This corresponds to the second response option:

(18 − 8 − 9)

Thus, the correct grouping to make it easiest to add is:

(18 − 8 − 9).