Solve 106/286x=40/140

$$\frac{ 106 }{ 286 } x= \frac{ 40 }{ 140 }$$

Solve for x

$$x=\frac{286}{371}\approx 0.770889488$$

Steps for Solving Linear Equation

Reduce the fraction \frac{106}{286} to lowest terms by extracting and canceling out 2.

$$\frac{53}{143}x=\frac{40}{140}$$

Reduce the fraction \frac{40}{140} to lowest terms by extracting and canceling out 20.

$$\frac{53}{143}x=\frac{2}{7}$$

Multiply both sides by \frac{143}{53}, the reciprocal of \frac{53}{143}.

$$x=\frac{2}{7}\times \frac{143}{53}$$

Multiply \frac{2}{7} times \frac{143}{53} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{2\times 143}{7\times 53}$$

Do the multiplications in the fraction \frac{2\times 143}{7\times 53}.

$$x=\frac{286}{371}$$