Solve 2,5/1,2=1,45/x

$$\frac { 2,5 } { 1,2 } = \frac { 1,45 } { x }$$

Solve for x

$$x=0,696$$

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.

$$x\times \frac{2,5}{1,2}=1,45$$

Expand \frac{2,5}{1,2} by multiplying both numerator and the denominator by 10.

$$x\times \frac{25}{12}=1,45$$

Multiply both sides by \frac{12}{25}, the reciprocal of \frac{25}{12}.

$$x=1,45\times \frac{12}{25}$$

Convert decimal number 1,45 to fraction \frac{145}{100}. Reduce the fraction \frac{145}{100} to lowest terms by extracting and canceling out 5.

$$x=\frac{29}{20}\times \frac{12}{25}$$

Multiply \frac{29}{20} times \frac{12}{25} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{29\times 12}{20\times 25}$$

Do the multiplications in the fraction \frac{29\times 12}{20\times 25}.

$$x=\frac{348}{500}$$

Reduce the fraction \frac{348}{500} to lowest terms by extracting and canceling out 4.

$$x=\frac{87}{125}$$