Solve 2/3*{-4/7+1/5}

$$\frac { 2 } { 3 } \times \{ - \frac { 4 } { 7 } + \frac { 1 } { 5 } \}$$

Evaluate

$$-\frac{26}{105}\approx -0.247619048$$

Solution Steps

Least common multiple of 7 and 5 is 35. Convert -\frac{4}{7} and \frac{1}{5} to fractions with denominator 35.

$$\frac{2}{3}\left(-\frac{20}{35}+\frac{7}{35}\right)$$

Since -\frac{20}{35} and \frac{7}{35} have the same denominator, add them by adding their numerators.

$$\frac{2}{3}\times \frac{-20+7}{35}$$

Add -20 and 7 to get -13.

$$\frac{2}{3}\left(-\frac{13}{35}\right)$$

Multiply \frac{2}{3} times -\frac{13}{35} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\left(-13\right)}{3\times 35}$$

Do the multiplications in the fraction \frac{2\left(-13\right)}{3\times 35}.

$$\frac{-26}{105}$$

Fraction \frac{-26}{105} can be rewritten as -\frac{26}{105} by extracting the negative sign.

$$-\frac{26}{105}$$

Factor

$$-\frac{26}{105} = -0.24761904761904763$$