Solve (-75/6)*93/4

$$( - 7 \frac { 5 } { 6 } ) \cdot 9 \frac { 3 } { 4 }$$

Evaluate

$$-\frac{611}{8}=-76.375$$

Solution Steps

Multiply 7 and 6 to get 42.

$$\left(-\frac{42+5}{6}\right)\times \frac{9\times 4+3}{4}$$

Add 42 and 5 to get 47.

$$-\frac{47}{6}\times \frac{9\times 4+3}{4}$$

Multiply 9 and 4 to get 36.

$$-\frac{47}{6}\times \frac{36+3}{4}$$

Add 36 and 3 to get 39.

$$-\frac{47}{6}\times \frac{39}{4}$$

Multiply -\frac{47}{6} times \frac{39}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-47\times 39}{6\times 4}$$

Do the multiplications in the fraction \frac{-47\times 39}{6\times 4}.

$$\frac{-1833}{24}$$

Reduce the fraction \frac{-1833}{24} to lowest terms by extracting and canceling out 3.

$$-\frac{611}{8}$$

Factor

$$-\frac{611}{8} = -76\frac{3}{8} = -76.375$$