Solve (3/4+1/7)(-2/5)

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

Evaluate

$$-\frac{5}{14}\approx -0.357142857$$

Solution Steps

Least common multiple of 4 and 7 is 28. Convert \frac{3}{4} and \frac{1}{7} to fractions with denominator 28.

$$\left(\frac{21}{28}+\frac{4}{28}\right)\times \frac{-2}{5}$$

Since \frac{21}{28} and \frac{4}{28} have the same denominator, add them by adding their numerators.

$$\frac{21+4}{28}\times \frac{-2}{5}$$

Add 21 and 4 to get 25.

$$\frac{25}{28}\times \frac{-2}{5}$$

Fraction \frac{-2}{5} can be rewritten as -\frac{2}{5} by extracting the negative sign.

$$\frac{25}{28}\left(-\frac{2}{5}\right)$$

Multiply \frac{25}{28} times -\frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\left(-2\right)}{28\times 5}$$

Do the multiplications in the fraction \frac{25\left(-2\right)}{28\times 5}.

$$\frac{-50}{140}$$

Reduce the fraction \frac{-50}{140} to lowest terms by extracting and canceling out 10.

$$-\frac{5}{14}$$

Factor

$$-\frac{5}{14} = -0.35714285714285715$$