Solve 1896*200d/15c24de

$$\frac { 1896 \times 200 d } { 15 c } 24 d e$$

Evaluate

$$\frac{606720ed^{2}}{c}$$

Solution Steps

Cancel out 3\times 5 in both numerator and denominator.

$$\frac{40\times 632d}{c}\times 24de$$

Multiply 40 and 632 to get 25280.

$$\frac{25280d}{c}\times 24de$$

Express \frac{25280d}{c}\times 24 as a single fraction.

$$\frac{25280d\times 24}{c}de$$

Express \frac{25280d\times 24}{c}d as a single fraction.

$$\frac{25280d\times 24d}{c}e$$

Express \frac{25280d\times 24d}{c}e as a single fraction.

$$\frac{25280d\times 24de}{c}$$

Multiply d and d to get d^{2}.

$$\frac{25280d^{2}\times 24e}{c}$$

Multiply 25280 and 24 to get 606720.

$$\frac{606720d^{2}e}{c}$$

Differentiate w.r.t. c

$$-606720e\times \left(\frac{d}{c}\right)^{2}$$