How should you group The Following expression to make it easier to ask 18 - 9 and 4/9 + 7/9- 8

1 answer

To group the expression \( 18 - 9 + \frac{4}{9} + \frac{7}{9} - 8 \) in a way that makes it easier to evaluate, you can first combine the whole numbers and then deal with the fractions separately.

Here’s how you can group it:

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

Now, you can evaluate the groups individually:

  1. For the whole numbers: \[ 18 - 9 - 8 = 1 \]

  2. For the fractions: \[ \frac{4}{9} + \frac{7}{9} = \frac{4 + 7}{9} = \frac{11}{9} \]

Now you can combine the results from both groups: \[ 1 + \frac{11}{9} \]

To express this as a single fraction, convert 1 to a fraction with a common denominator: \[ 1 = \frac{9}{9} \]

Now add: \[ \frac{9}{9} + \frac{11}{9} = \frac{20}{9} \]

So the final result of the expression \( 18 - 9 + \frac{4}{9} + \frac{7}{9} - 8 \) is \( \frac{20}{9} \).