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

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

1 answer

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).