Solve -2/7-1/3+1

$$\frac{ \frac{ -2 }{ 7 } -1 }{ 3 } +1$$

Evaluate

$$\frac{4}{7}\approx 0.571428571$$

Solution Steps

Fraction \frac{-2}{7} can be rewritten as -\frac{2}{7} by extracting the negative sign.

$$\frac{-\frac{2}{7}-1}{3}+1$$

Convert 1 to fraction \frac{7}{7}.

$$\frac{-\frac{2}{7}-\frac{7}{7}}{3}+1$$

Since -\frac{2}{7} and \frac{7}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{-2-7}{7}}{3}+1$$

Subtract 7 from -2 to get -9.

$$\frac{-\frac{9}{7}}{3}+1$$

Express \frac{-\frac{9}{7}}{3} as a single fraction.

$$\frac{-9}{7\times 3}+1$$

Multiply 7 and 3 to get 21.

$$\frac{-9}{21}+1$$

Reduce the fraction \frac{-9}{21} to lowest terms by extracting and canceling out 3.

$$-\frac{3}{7}+1$$

Convert 1 to fraction \frac{7}{7}.

$$-\frac{3}{7}+\frac{7}{7}$$

Since -\frac{3}{7} and \frac{7}{7} have the same denominator, add them by adding their numerators.

$$\frac{-3+7}{7}$$

Add -3 and 7 to get 4.

$$\frac{4}{7}$$

Factor

$$\frac{2 ^ {2}}{7} = 0.5714285714285714$$