Solve 14/27*n=-28/8

$$\frac { 14 } { 27 } \times n = \frac { - 28 } { 8 }$$

Solve for n

$$n = -\frac{27}{4} = -6\frac{3}{4} = -6.75$$

Steps for Solving Linear Equation

Reduce the fraction \frac{-28}{8} to lowest terms by extracting and canceling out 4.

$$\frac{14}{27}n=-\frac{7}{2}$$

Multiply both sides by \frac{27}{14}, the reciprocal of \frac{14}{27}.

$$n=-\frac{7}{2}\times \frac{27}{14}$$

Multiply -\frac{7}{2} times \frac{27}{14} by multiplying numerator times numerator and denominator times denominator.

$$n=\frac{-7\times 27}{2\times 14}$$

Do the multiplications in the fraction \frac{-7\times 27}{2\times 14}.

$$n=\frac{-189}{28}$$

Reduce the fraction \frac{-189}{28} to lowest terms by extracting and canceling out 7.

$$n=-\frac{27}{4}$$