Solve 17.28y*35%=

$$17.28y \times 35 \% =$$

Evaluate

$$\frac{756y}{125}$$

Solution Steps

Reduce the fraction \frac{35}{100} to lowest terms by extracting and canceling out 5.

$$17.28y\times \frac{7}{20}$$

Convert decimal number 17.28 to fraction \frac{1728}{100}. Reduce the fraction \frac{1728}{100} to lowest terms by extracting and canceling out 4.

$$\frac{432}{25}y\times \frac{7}{20}$$

Multiply \frac{432}{25} times \frac{7}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{432\times 7}{25\times 20}y$$

Do the multiplications in the fraction \frac{432\times 7}{25\times 20}.

$$\frac{3024}{500}y$$

Reduce the fraction \frac{3024}{500} to lowest terms by extracting and canceling out 4.

$$\frac{756}{125}y$$

Differentiate w.r.t. y

$$6.048$$

Steps Using Definition of a Derivative

Reduce the fraction \frac{35}{100} to lowest terms by extracting and canceling out 5.

$$\frac{\mathrm{d}}{\mathrm{d}y}(17.28y\times \frac{7}{20})$$

Convert decimal number 17.28 to fraction \frac{1728}{100}. Reduce the fraction \frac{1728}{100} to lowest terms by extracting and canceling out 4.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{432}{25}y\times \frac{7}{20})$$

Multiply \frac{432}{25} times \frac{7}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{432\times 7}{25\times 20}y)$$

Do the multiplications in the fraction \frac{432\times 7}{25\times 20}.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{3024}{500}y)$$

Reduce the fraction \frac{3024}{500} to lowest terms by extracting and canceling out 4.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{756}{125}y)$$

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

$$\frac{756}{125}y^{1-1}$$

Subtract 1 from 1.

$$\frac{756}{125}y^{0}$$

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

$$\frac{756}{125}\times 1$$

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

$$\frac{756}{125}$$