Solve 23/4/n=17/2/frac{10{3}}

$$\frac { \frac { 23 } { 4 } } { n } = \frac { \frac { 17 } { 2 } } { \frac { 10 } { 3 } }$$

Solve for n

$$n = \frac{115}{51} = 2\frac{13}{51} \approx 2.254901961$$

Steps for Solving Linear Equation

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

$$\frac{23}{4}=n\times \frac{\frac{17}{2}}{\frac{10}{3}}$$

Divide \frac{17}{2} by \frac{10}{3} by multiplying \frac{17}{2} by the reciprocal of \frac{10}{3}.

$$\frac{23}{4}=n\times \frac{17}{2}\times \frac{3}{10}$$

Multiply \frac{17}{2} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{23}{4}=n\times \frac{17\times 3}{2\times 10}$$

Do the multiplications in the fraction \frac{17\times 3}{2\times 10}.

$$\frac{23}{4}=n\times \frac{51}{20}$$

Swap sides so that all variable terms are on the left hand side.

$$n\times \frac{51}{20}=\frac{23}{4}$$

Multiply both sides by \frac{20}{51}, the reciprocal of \frac{51}{20}.

$$n=\frac{23}{4}\times \frac{20}{51}$$

Multiply \frac{23}{4} times \frac{20}{51} by multiplying numerator times numerator and denominator times denominator.

$$n=\frac{23\times 20}{4\times 51}$$

Do the multiplications in the fraction \frac{23\times 20}{4\times 51}.

$$n=\frac{460}{204}$$

Reduce the fraction \frac{460}{204} to lowest terms by extracting and canceling out 4.

$$n=\frac{115}{51}$$