Question

1/3+(-2/9)+4/27+(-8/81)​

Answer 1

Ответ:

Спрощуємо вираз

Пошаговое объяснение:

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Answer 2

To solve this expression, you need to add the fractions:

$$\frac{1}{3} + \left(-\frac{2}{9}\right) + \frac{4}{27} + \left(-\frac{8}{81}\right)$$

First, let's simplify the negative fractions separately:

$$\left(-\frac{2}{9}\right) + \left(-\frac{8}{81}\right) = -\frac{2 \times 9}{9 \times 9} - \frac{8 \times 1}{81 \times 1} = -\frac{18}{81} - \frac{8}{81} = -\frac{26}{81}$$

Now, the expression becomes:

$$\frac{1}{3} + \frac{4}{27} - \frac{26}{81}$$

To add these fractions, they need to have a common denominator, which in this case is 81. Rewrite the fractions with a common denominator:

$$\frac{27}{81} + \frac{12}{81} - \frac{26}{81}$$

Now, add the numerators:

$$27 + 12 - 26 = 13$$

So, the simplified fraction is:

$$\frac{13}{81}$$