Question

Simplify the following expression:

18−9 4/9+7/9−8


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Please enter your answer as a FRACTION. Please do not enter a decimal value.

Answer 1

Give me the answer without these }/{/ plz ?

Answer 2

To simplify the expression \( 18 - 9 \frac{4}{9} + \frac{7}{9} - 8 \), we can start by rewriting it in terms of fractions.

1. First, convert the mixed number \( 9 \frac{4}{9} \) into an improper fraction:
\[
9 \frac{4}{9} = 9 + \frac{4}{9} = \frac{81}{9} + \frac{4}{9} = \frac{85}{9}
\]

2. Now substitute this back into the expression:
\[
18 - \frac{85}{9} + \frac{7}{9} - 8
\]

3. Next, convert \( 18 \) and \( 8 \) to fractions with a common denominator of \( 9 \):
\[
18 = \frac{162}{9}, \quad 8 = \frac{72}{9}
\]

4. Substitute these back into the expression:
\[
\frac{162}{9} - \frac{85}{9} + \frac{7}{9} - \frac{72}{9}
\]

5. Now combine all the fractions:
\[
\frac{162 - 85 + 7 - 72}{9}
\]

6. Calculate the numerator:
\[
162 - 85 = 77
\]
\[
77 + 7 = 84
\]
\[
84 - 72 = 12
\]

7. This gives us:
\[
\frac{12}{9}
\]

8. Finally, simplify the fraction \( \frac{12}{9} \):
- The greatest common divisor of \( 12 \) and \( 9 \) is \( 3 \).
\[
\frac{12 \div 3}{9 \div 3} = \frac{4}{3}
\]

Thus, the simplified expression is \(\frac{4}{3}\).

Answer 3

The simplified expression is 4 over 3.