Solve s/3div5s/2*3s/7

$$\frac { s } { 3 } \div \frac { 5 s } { 2 } \times \frac { 3 s } { 7 }$$

Evaluate

$$\frac{2s}{35}$$

Solution Steps

Divide \frac{s}{3} by \frac{5s}{2} by multiplying \frac{s}{3} by the reciprocal of \frac{5s}{2}.

$$\frac{s\times 2}{3\times 5s}\times \frac{3s}{7}$$

Cancel out s in both numerator and denominator.

$$\frac{2}{3\times 5}\times \frac{3s}{7}$$

Multiply 3 and 5 to get 15.

$$\frac{2}{15}\times \frac{3s}{7}$$

Multiply \frac{2}{15} times \frac{3s}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 3s}{15\times 7}$$

Cancel out 3 in both numerator and denominator.

$$\frac{2s}{5\times 7}$$

Multiply 5 and 7 to get 35.

$$\frac{2s}{35}$$

Differentiate w.r.t. s

$$\frac{2}{35} = 0.05714285714285714$$