Solve 87/99*78/x

$$\frac{ 87 }{ 99 } \times \frac{ 78 }{ x }$$

Evaluate

$$\frac{754}{11x}$$

Solution Steps

Reduce the fraction \frac{87}{99} to lowest terms by extracting and canceling out 3.

$$\frac{29}{33}\times \frac{78}{x}$$

Multiply \frac{29}{33} times \frac{78}{x} by multiplying numerator times numerator and denominator times denominator.

$$\frac{29\times 78}{33x}$$

Cancel out 3 in both numerator and denominator.

$$\frac{26\times 29}{11x}$$

Multiply 26 and 29 to get 754.

$$\frac{754}{11x}$$

Differentiate w.r.t. x

$$-\frac{754}{11x^{2}}$$