Solve (3)3y/10xdiv6y^2/5x^2=

$$( 3 ) \frac { 3 y } { 10 x } \div \frac { 6 y ^ { 2 } } { 5 x ^ { 2 } } =$$

Evaluate

$$\frac{3x}{4y}$$

Short Solution Steps

Express 3\times \frac{3y}{10x} as a single fraction.

$$\frac{\frac{3\times 3y}{10x}}{\frac{6y^{2}}{5x^{2}}}$$

Divide \frac{3\times 3y}{10x} by \frac{6y^{2}}{5x^{2}} by multiplying \frac{3\times 3y}{10x} by the reciprocal of \frac{6y^{2}}{5x^{2}}.

$$\frac{3\times 3y\times 5x^{2}}{10x\times 6y^{2}}$$

Cancel out 3\times 5xy in both numerator and denominator.

$$\frac{3x}{2\times 2y}$$

Multiply 2 and 2 to get 4.

$$\frac{3x}{4y}$$

Differentiate w.r.t. x

$$\frac{3}{4y}$$