Question

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 − 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)
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)

Answer 1

To make the expression \( 18 - 9 \frac{4}{9} + \frac{7}{9} - 8 \) easiest to add, we can group the integer parts together and the fractional parts together.

The best grouping would be:

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

This simplifies to:

\[
10 + \left( -\frac{36}{9} + \frac{7}{9} \right) = 10 + \left( -\frac{36 - 7}{9} \right) = 10 - \frac{29}{9}
\]

Among your provided options, the one that simplifies the calculations best would be:

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

However, this choice might not be explicitly listed in your responses. Based on the provided responses, the closest would be:

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

This leaves you with computing the integer parts first (18 - 9 - 8) and then dealing with the fractions, further simplifying the calculations.