Solve 2/3*[-6/7+4/5]

$$\frac { 2 } { 3 } \times [ \frac { - 6 } { 7 } + \frac { 4 } { 5 } ]$$

Evaluate

$$-\frac{4}{105}\approx -0.038095238$$

Solution Steps

Fraction \frac{-6}{7} can be rewritten as -\frac{6}{7} by extracting the negative sign.

$$\frac{2}{3}\left(-\frac{6}{7}+\frac{4}{5}\right)$$

Least common multiple of 7 and 5 is 35. Convert -\frac{6}{7} and \frac{4}{5} to fractions with denominator 35.

$$\frac{2}{3}\left(-\frac{30}{35}+\frac{28}{35}\right)$$

Since -\frac{30}{35} and \frac{28}{35} have the same denominator, add them by adding their numerators.

$$\frac{2}{3}\times \frac{-30+28}{35}$$

Add -30 and 28 to get -2.

$$\frac{2}{3}\left(-\frac{2}{35}\right)$$

Multiply \frac{2}{3} times -\frac{2}{35} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\left(-2\right)}{3\times 35}$$

Do the multiplications in the fraction \frac{2\left(-2\right)}{3\times 35}.

$$\frac{-4}{105}$$

Fraction \frac{-4}{105} can be rewritten as -\frac{4}{105} by extracting the negative sign.

$$-\frac{4}{105}$$

Factor

$$-\frac{4}{105} = -0.0380952380952381$$