Solve 0.130/4.250=0.068/x

$$\frac { 0.130 } { 4.250 } = \frac { 0.068 } { x }$$

Solve for x

$$x = \frac{289}{130} = 2\frac{29}{130} \approx 2.223076923$$

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.

$$x\times \frac{0.13}{4.25}=0.068$$

Expand \frac{0.13}{4.25} by multiplying both numerator and the denominator by 100.

$$x\times \frac{13}{425}=0.068$$

Multiply both sides by \frac{425}{13}, the reciprocal of \frac{13}{425}.

$$x=0.068\times \frac{425}{13}$$

Convert decimal number 0.068 to fraction \frac{68}{1000}. Reduce the fraction \frac{68}{1000} to lowest terms by extracting and canceling out 4.

$$x=\frac{17}{250}\times \frac{425}{13}$$

Multiply \frac{17}{250} times \frac{425}{13} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{17\times 425}{250\times 13}$$

Do the multiplications in the fraction \frac{17\times 425}{250\times 13}.

$$x=\frac{7225}{3250}$$

Reduce the fraction \frac{7225}{3250} to lowest terms by extracting and canceling out 25.

$$x=\frac{289}{130}$$