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 − 9) Left Parenthesis 18 minus 8 minus 9 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 − 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 (8 − 18) + (49 + 79)

1 answer

To make the expression \( 18 - 9 \frac{4}{9} + \frac{7}{9} - 8 \) easiest to add, you should group it such that you simplify the whole numbers and the fractions together.

The best grouping among the options provided is:

\[ (18 - 8) + \left(-9 \frac{4}{9} + \frac{7}{9}\right) \]

This simplifies to:

\[ 10 + \left(-9 \frac{4}{9} + \frac{7}{9}\right) \]

From here, you can work with the whole number \(10\) and then combine the fractions, simplifying each part separately before finally adding them together.

Thus, the correct response would be: \[ (18 - 8) + \left(-9 \frac{4}{9} + \frac{7}{9}\right) \]