Solve 2/5(-1/2*7/4)

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

Evaluate

$$-\frac{7}{20}=-0.35$$

Solution Steps

Multiply \frac{2}{5} times -\frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\left(-1\right)}{5\times 2}\times \frac{7}{4}$$

Cancel out 2 in both numerator and denominator.

$$\frac{-1}{5}\times \frac{7}{4}$$

Fraction \frac{-1}{5} can be rewritten as -\frac{1}{5} by extracting the negative sign.

$$-\frac{1}{5}\times \frac{7}{4}$$

Multiply -\frac{1}{5} times \frac{7}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-7}{5\times 4}$$

Do the multiplications in the fraction \frac{-7}{5\times 4}.

$$\frac{-7}{20}$$

Fraction \frac{-7}{20} can be rewritten as -\frac{7}{20} by extracting the negative sign.

$$-\frac{7}{20}$$

Factor

$$-\frac{7}{20} = -0.35$$