Solve 23/58.5=0.196/x

$$\frac { 23 } { 58.5 } = \frac { 0.196 } { x }$$

Solve for x

$$x=\frac{5733}{11500}\approx 0.498521739$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$x\times \frac{23}{58.5}=0.196$$

Expand \frac{23}{58.5} by multiplying both numerator and the denominator by 10.

$$x\times \frac{230}{585}=0.196$$

Reduce the fraction \frac{230}{585} to lowest terms by extracting and canceling out 5.

$$x\times \frac{46}{117}=0.196$$

Multiply both sides by \frac{117}{46}, the reciprocal of \frac{46}{117}.

$$x=0.196\times \frac{117}{46}$$

Convert decimal number 0.196 to fraction \frac{196}{1000}. Reduce the fraction \frac{196}{1000} to lowest terms by extracting and canceling out 4.

$$x=\frac{49}{250}\times \frac{117}{46}$$

Multiply \frac{49}{250} times \frac{117}{46} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{49\times 117}{250\times 46}$$

Do the multiplications in the fraction \frac{49\times 117}{250\times 46}.

$$x=\frac{5733}{11500}$$