Solve 49/42*63/8x-2

$$\frac { 49 } { 42 } * \frac { 63 } { 8 x - 2 }$$

Evaluate

$$\frac{147}{4\left(4x-1\right)}$$

Solution Steps

Reduce the fraction \frac{49}{42} to lowest terms by extracting and canceling out 7.

$$\frac{7}{6}\times \frac{63}{8x-2}$$

Multiply \frac{7}{6} times \frac{63}{8x-2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 63}{6\left(8x-2\right)}$$

Cancel out 3 in both numerator and denominator.

$$\frac{7\times 21}{2\left(8x-2\right)}$$

Multiply 7 and 21 to get 147.

$$\frac{147}{2\left(8x-2\right)}$$

Use the distributive property to multiply 2 by 8x-2.

$$\frac{147}{16x-4}$$

Differentiate w.r.t. x

$$-\frac{147}{\left(4x-1\right)^{2}}$$