Solve 6/7div3/10w

$$\frac { 6 } { 7 } \div \frac { 3 } { 10 } w$$

Evaluate

$$\frac{20w}{7}$$

Solution Steps

Divide \frac{6}{7} by \frac{3}{10} by multiplying \frac{6}{7} by the reciprocal of \frac{3}{10}.

$$\frac{6}{7}\times \frac{10}{3}w$$

Multiply \frac{6}{7} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\times 10}{7\times 3}w$$

Do the multiplications in the fraction \frac{6\times 10}{7\times 3}.

$$\frac{60}{21}w$$

Reduce the fraction \frac{60}{21} to lowest terms by extracting and canceling out 3.

$$\frac{20}{7}w$$

Differentiate w.r.t. w

$$\frac{20}{7} = 2\frac{6}{7} = 2.857142857142857$$

Steps Using Definition of a Derivative

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

$$\frac{20}{7}w^{1-1}$$

Subtract 1 from 1.

$$\frac{20}{7}w^{0}$$

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

$$\frac{20}{7}\times 1$$

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

$$\frac{20}{7}$$