Solve 31/2/4frac{3{4}}=181/2/n

$$\frac { 3 \frac { 1 } { 2 } } { 4 \frac { 3 } { 4 } } = \frac { 18 \frac { 1 } { 2 } } { n }$$

Solve for n

$$n = \frac{703}{28} = 25\frac{3}{28} \approx 25.107142857$$

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.

$$\frac{4}{19}n\times \frac{3\times 2+1}{2}=\frac{18\times 2+1}{2}$$

Multiply 3 and 2 to get 6.

$$\frac{4}{19}n\times \frac{6+1}{2}=\frac{18\times 2+1}{2}$$

Add 6 and 1 to get 7.

$$\frac{4}{19}n\times \frac{7}{2}=\frac{18\times 2+1}{2}$$

Multiply \frac{4}{19} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 7}{19\times 2}n=\frac{18\times 2+1}{2}$$

Do the multiplications in the fraction \frac{4\times 7}{19\times 2}.

$$\frac{28}{38}n=\frac{18\times 2+1}{2}$$

Reduce the fraction \frac{28}{38} to lowest terms by extracting and canceling out 2.

$$\frac{14}{19}n=\frac{18\times 2+1}{2}$$

Multiply 18 and 2 to get 36.

$$\frac{14}{19}n=\frac{36+1}{2}$$

Add 36 and 1 to get 37.

$$\frac{14}{19}n=\frac{37}{2}$$

Multiply both sides by \frac{19}{14}, the reciprocal of \frac{14}{19}.

$$n=\frac{37}{2}\times \frac{19}{14}$$

Multiply \frac{37}{2} times \frac{19}{14} by multiplying numerator times numerator and denominator times denominator.

$$n=\frac{37\times 19}{2\times 14}$$

Do the multiplications in the fraction \frac{37\times 19}{2\times 14}.

$$n=\frac{703}{28}$$