Solve x+7/100*x=314.5

$$x + \frac { 7 } { 100 } \times x = 314.5$$

Solve for x

$$x = \frac{31450}{107} = 293\frac{99}{107} \approx 293.925233645$$

Steps for Solving Linear Equation

Combine x and \frac{7}{100}x to get \frac{107}{100}x.

$$\frac{107}{100}x=314.5$$

Multiply both sides by \frac{100}{107}, the reciprocal of \frac{107}{100}.

$$x=314.5\times \frac{100}{107}$$

Convert decimal number 314.5 to fraction \frac{3145}{10}. Reduce the fraction \frac{3145}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{629}{2}\times \frac{100}{107}$$

Multiply \frac{629}{2} times \frac{100}{107} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{629\times 100}{2\times 107}$$

Do the multiplications in the fraction \frac{629\times 100}{2\times 107}.

$$x=\frac{62900}{214}$$

Reduce the fraction \frac{62900}{214} to lowest terms by extracting and canceling out 2.

$$x=\frac{31450}{107}$$