Solve 7/24*(-12/7)*5/4

$$\frac { 7 } { 24 } \cdot ( - \frac { 12 } { 7 } ) \cdot \frac { 5 } { 4 }$$

Evaluate

$$-\frac{5}{8}=-0.625$$

Solution Steps

Multiply \frac{7}{24} times -\frac{12}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\left(-12\right)}{24\times 7}\times \frac{5}{4}$$

Cancel out 7 in both numerator and denominator.

$$\frac{-12}{24}\times \frac{5}{4}$$

Reduce the fraction \frac{-12}{24} to lowest terms by extracting and canceling out 12.

$$-\frac{1}{2}\times \frac{5}{4}$$

Multiply -\frac{1}{2} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5}{2\times 4}$$

Do the multiplications in the fraction \frac{-5}{2\times 4}.

$$\frac{-5}{8}$$

Fraction \frac{-5}{8} can be rewritten as -\frac{5}{8} by extracting the negative sign.

$$-\frac{5}{8}$$

Factor

$$-\frac{5}{8} = -0.625$$