Solve 4.6/2.5=3.8/x

$$\frac { 4.6 } { 2.5 } = \frac { 3.8 } { x }$$

Solve for x

$$x = \frac{95}{46} = 2\frac{3}{46} \approx 2.065217391$$

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.

$$x\times \frac{4.6}{2.5}=3.8$$

Expand \frac{4.6}{2.5} by multiplying both numerator and the denominator by 10.

$$x\times \frac{46}{25}=3.8$$

Multiply both sides by \frac{25}{46}, the reciprocal of \frac{46}{25}.

$$x=3.8\times \frac{25}{46}$$

Convert decimal number 3.8 to fraction \frac{38}{10}. Reduce the fraction \frac{38}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{19}{5}\times \frac{25}{46}$$

Multiply \frac{19}{5} times \frac{25}{46} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{19\times 25}{5\times 46}$$

Do the multiplications in the fraction \frac{19\times 25}{5\times 46}.

$$x=\frac{475}{230}$$

Reduce the fraction \frac{475}{230} to lowest terms by extracting and canceling out 5.

$$x=\frac{95}{46}$$