Solve 31/4.3=8.1/n

$$\frac { 31 } { 4.3 } = \frac { 8.1 } { n }$$

Solve for n

$$n = \frac{3483}{3100} = 1\frac{383}{3100} \approx 1.123548387$$

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.

$$n\times \frac{31}{4.3}=8.1$$

Expand \frac{31}{4.3} by multiplying both numerator and the denominator by 10.

$$n\times \frac{310}{43}=8.1$$

Multiply both sides by \frac{43}{310}, the reciprocal of \frac{310}{43}.

$$n=8.1\times \frac{43}{310}$$

Convert decimal number 8.1 to fraction \frac{81}{10}.

$$n=\frac{81}{10}\times \frac{43}{310}$$

Multiply \frac{81}{10} times \frac{43}{310} by multiplying numerator times numerator and denominator times denominator.

$$n=\frac{81\times 43}{10\times 310}$$

Do the multiplications in the fraction \frac{81\times 43}{10\times 310}.

$$n=\frac{3483}{3100}$$