Solve 1895/15c*206d/24de

$$\frac { 1895 } { 15 c } \times \frac { 206 d } { 24 d e }$$

Evaluate

$$\frac{39037}{36ec}$$

Solution Steps

Cancel out 2d in both numerator and denominator.

$$\frac{1895}{15c}\times \frac{103}{12e}$$

Multiply \frac{1895}{15c} times \frac{103}{12e} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1895\times 103}{15c\times 12e}$$

Cancel out 5 in both numerator and denominator.

$$\frac{103\times 379}{3\times 12ec}$$

Multiply 103 and 379 to get 39037.

$$\frac{39037}{3\times 12ec}$$

Multiply 3 and 12 to get 36.

$$\frac{39037}{36ec}$$

Differentiate w.r.t. c

$$-\frac{39037}{36ec^{2}}$$