Respuesta :

Answer:

[tex] - 1 \frac{2}{9} [/tex]

Step-by-step explanation:

Convert both fractions to have the same lowest common denominator (LCD) so we can subtract.

We should list multiples of 3 & 9 to find that number.

3: 3, 6, 9

9: 9, 18, 27

Our LCD is 9.

To convert -2/3 to have a denominator of 9, we must multiply by 3/3 (whatever you do to denominator you must do to numerator & vice versa).

We get that:

[tex] - \frac{2}{3} \times \frac{3}{3} = - \frac{6}{9} [/tex]

5/9 already has a denominator of 9 so we leave it alone.

Then we subtract the numerators to get our answer:

[tex] - \frac{6}{9} - \frac{5}{9} = - \frac{11}{9} = - 1 \frac{2}{9} [/tex]

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