Solve 6/5/frac{12{25}}=5/p

$$\frac { \frac { 6 } { 5 } } { \frac { 12 } { 25 } } = \frac { 5 } { p }$$

Solve for p

$$p=2$$

Steps for Solving Linear Equation

Variable p cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by p.

$$p\times \frac{\frac{6}{5}}{\frac{12}{25}}=5$$

Divide \frac{6}{5} by \frac{12}{25} by multiplying \frac{6}{5} by the reciprocal of \frac{12}{25}.

$$p\times \frac{6}{5}\times \frac{25}{12}=5$$

Multiply \frac{6}{5} times \frac{25}{12} by multiplying numerator times numerator and denominator times denominator.

$$p\times \frac{6\times 25}{5\times 12}=5$$

Do the multiplications in the fraction \frac{6\times 25}{5\times 12}.

$$p\times \frac{150}{60}=5$$

Reduce the fraction \frac{150}{60} to lowest terms by extracting and canceling out 30.

$$p\times \frac{5}{2}=5$$

Multiply both sides by \frac{2}{5}, the reciprocal of \frac{5}{2}.

$$p=5\times \frac{2}{5}$$

Cancel out 5 and 5.

$$p=2$$