Solve -6/10*-2/7+2/5

$$\frac{ -6 }{ 10 } \times \frac{ -2 }{ 7 } + \frac{ 2 }{ 5 }$$

Evaluate

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

Solution Steps

Reduce the fraction \frac{-6}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{3}{5}\times \frac{-2}{7}+\frac{2}{5}$$

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

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

Multiply -\frac{3}{5} times -\frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{-3\left(-2\right)}{5\times 7}.

$$\frac{6}{35}+\frac{2}{5}$$

Least common multiple of 35 and 5 is 35. Convert \frac{6}{35} and \frac{2}{5} to fractions with denominator 35.

$$\frac{6}{35}+\frac{14}{35}$$

Since \frac{6}{35} and \frac{14}{35} have the same denominator, add them by adding their numerators.

$$\frac{6+14}{35}$$

Add 6 and 14 to get 20.

$$\frac{20}{35}$$

Reduce the fraction \frac{20}{35} to lowest terms by extracting and canceling out 5.

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

Factor

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