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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)

7 answers

To make the expression \(18 - 9 \frac{4}{9} + \frac{7}{9} - 8\) easiest to add, we should group it in a way that allows for straightforward calculation of whole numbers and fractions.

The most logical grouping would be:

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

This simplifies as follows:

  1. Calculate the whole numbers first: \(18 - 8 = 10\)

  2. Then deal with the fractions:

    Convert \(9 \frac{4}{9}\) to an improper fraction: \[ 9 \frac{4}{9} = 9 + \frac{4}{9} = \frac{81}{9} + \frac{4}{9} = \frac{85}{9} \]

    Now, substitute into the fraction calculation: \[ -\frac{85}{9} + \frac{7}{9} = -\frac{85 - 7}{9} = -\frac{78}{9} = -\frac{26}{3} \text{ (if needed)} \]

Finally, combine your results: \[ 10 + \left(-\frac{26}{3}\right) \]

Thus, a clear and efficient grouping of the original expression is:

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

This makes it easy to compute both parts separately.

no letters.

Apologies for the confusion. Here’s the answer without letters:

To make the expression \( 18 - 9 \frac{4}{9} + \frac{7}{9} - 8 \) easiest to add, you should group it as follows:

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

This means calculating:

  1. Whole numbers: \( 18 - 8 = 10 \)
  2. Fractions: \( -9 \frac{4}{9} + \frac{7}{9} = -\frac{85}{9} + \frac{7}{9} = -\frac{78}{9} \)

So in terms of grouping, the best option is:

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

This makes it easier to add.

LEFR AND FRAC AND RIGHT HAVE LETTERS IN THEM DONT THEY? (18 - 8) + \left(-9 \frac{4}{9} + \frac{7}{9}\right) but lesss complex please

I apologize for misunderstanding your request. Here’s a simpler way to present the grouping without using any letters or complex symbols:

Best grouping:

(18 - 8) + (-9 4/9 + 7/9)

Calculation steps:

  1. Calculate (18 - 8):

    • Result = 10

  2. Calculate (-9 4/9 + 7/9):

    • Convert -9 4/9 to an improper fraction: -9 4/9 = -85/9
    • Then, -85/9 + 7/9 = -78/9 = -26/3 (optional)

So the easiest way to group for addition is:

(18 - 8) + (-9 4/9 + 7/9)

thanks you

You're welcome! If you have any more questions or need further assistance, feel free to ask. Happy studying!