Solve x15/55%555

$$x \frac{ 15 }{ 55 \% 555 }$$

Evaluate

$$\frac{20x}{407}$$

Solution Steps

Reduce the fraction \frac{55}{100} to lowest terms by extracting and canceling out 5.

$$x\times \frac{15}{\frac{11}{20}\times 555}$$

Express \frac{11}{20}\times 555 as a single fraction.

$$x\times \frac{15}{\frac{11\times 555}{20}}$$

Multiply 11 and 555 to get 6105.

$$x\times \frac{15}{\frac{6105}{20}}$$

Reduce the fraction \frac{6105}{20} to lowest terms by extracting and canceling out 5.

$$x\times \frac{15}{\frac{1221}{4}}$$

Divide 15 by \frac{1221}{4} by multiplying 15 by the reciprocal of \frac{1221}{4}.

$$x\times 15\times \frac{4}{1221}$$

Express 15\times \frac{4}{1221} as a single fraction.

$$x\times \frac{15\times 4}{1221}$$

Multiply 15 and 4 to get 60.

$$x\times \frac{60}{1221}$$

Reduce the fraction \frac{60}{1221} to lowest terms by extracting and canceling out 3.

$$x\times \frac{20}{407}$$

Differentiate w.r.t. x

$$\frac{20}{407} = 0.04914004914004914$$

Steps Using Definition of a Derivative

Reduce the fraction \frac{55}{100} to lowest terms by extracting and canceling out 5.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times \frac{15}{\frac{11}{20}\times 555})$$

Express \frac{11}{20}\times 555 as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times \frac{15}{\frac{11\times 555}{20}})$$

Multiply 11 and 555 to get 6105.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times \frac{15}{\frac{6105}{20}})$$

Reduce the fraction \frac{6105}{20} to lowest terms by extracting and canceling out 5.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times \frac{15}{\frac{1221}{4}})$$

Divide 15 by \frac{1221}{4} by multiplying 15 by the reciprocal of \frac{1221}{4}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times 15\times \frac{4}{1221})$$

Express 15\times \frac{4}{1221} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times \frac{15\times 4}{1221})$$

Multiply 15 and 4 to get 60.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times \frac{60}{1221})$$

Reduce the fraction \frac{60}{1221} to lowest terms by extracting and canceling out 3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times \frac{20}{407})$$

The derivative of ax^{n} is nax^{n-1}.

$$\frac{20}{407}x^{1-1}$$

Subtract 1 from 1.

$$\frac{20}{407}x^{0}$$

For any term t except 0, t^{0}=1.

$$\frac{20}{407}\times 1$$

For any term t, t\times 1=t and 1t=t.

$$\frac{20}{407}$$