Solve 41%text{of}768.92m

$$41 \% \text { of } 768.92 m$$

Evaluate

$$\frac{788143m}{2500}$$

Solution Steps

Convert decimal number 768.92 to fraction \frac{76892}{100}. Reduce the fraction \frac{76892}{100} to lowest terms by extracting and canceling out 4.

$$\frac{41}{100}\times \frac{19223}{25}m$$

Multiply \frac{41}{100} times \frac{19223}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{41\times 19223}{100\times 25}m$$

Do the multiplications in the fraction \frac{41\times 19223}{100\times 25}.

$$\frac{788143}{2500}m$$

Differentiate w.r.t. m

$$315.2572$$

Steps Using Definition of a Derivative

Convert decimal number 768.92 to fraction \frac{76892}{100}. Reduce the fraction \frac{76892}{100} to lowest terms by extracting and canceling out 4.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{41}{100}\times \frac{19223}{25}m)$$

Multiply \frac{41}{100} times \frac{19223}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{41\times 19223}{100\times 25}m)$$

Do the multiplications in the fraction \frac{41\times 19223}{100\times 25}.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{788143}{2500}m)$$

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

$$\frac{788143}{2500}m^{1-1}$$

Subtract 1 from 1.

$$\frac{788143}{2500}m^{0}$$

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

$$\frac{788143}{2500}\times 1$$

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

$$\frac{788143}{2500}$$