Solve (+2/5):(-3/4)=2/5*(-4/3)=

$$( + \frac { 2 } { 5 } ) : ( - \frac { 3 } { 4 } ) = \frac { 2 } { 5 } \cdot ( - \frac { 4 } { 3 } ) =$$

Verify

Solution Steps

Divide \frac{2}{5} by -\frac{3}{4} by multiplying \frac{2}{5} by the reciprocal of -\frac{3}{4}.

$$\frac{2}{5}\left(-\frac{4}{3}\right)=\frac{2}{5}\left(-\frac{4}{3}\right)$$

Multiply \frac{2}{5} times -\frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\left(-4\right)}{5\times 3}=\frac{2}{5}\left(-\frac{4}{3}\right)$$

Do the multiplications in the fraction \frac{2\left(-4\right)}{5\times 3}.

$$\frac{-8}{15}=\frac{2}{5}\left(-\frac{4}{3}\right)$$

Fraction \frac{-8}{15} can be rewritten as -\frac{8}{15} by extracting the negative sign.

$$-\frac{8}{15}=\frac{2}{5}\left(-\frac{4}{3}\right)$$

Multiply \frac{2}{5} times -\frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{8}{15}=\frac{2\left(-4\right)}{5\times 3}$$

Do the multiplications in the fraction \frac{2\left(-4\right)}{5\times 3}.

$$-\frac{8}{15}=\frac{-8}{15}$$

Fraction \frac{-8}{15} can be rewritten as -\frac{8}{15} by extracting the negative sign.

$$-\frac{8}{15}=-\frac{8}{15}$$

Compare -\frac{8}{15} and -\frac{8}{15}.

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