Solve 4.4/x=2.9/3.9

$$\frac { 4.4 } { x } = \frac { 2.9 } { 3.9 }$$

Solve for x

$$x = \frac{858}{145} = 5\frac{133}{145} \approx 5.917241379$$

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.

$$4.4=x\times \frac{2.9}{3.9}$$

Expand \frac{2.9}{3.9} by multiplying both numerator and the denominator by 10.

$$4.4=x\times \frac{29}{39}$$

Swap sides so that all variable terms are on the left hand side.

$$x\times \frac{29}{39}=4.4$$

Multiply both sides by \frac{39}{29}, the reciprocal of \frac{29}{39}.

$$x=4.4\times \frac{39}{29}$$

Convert decimal number 4.4 to fraction \frac{44}{10}. Reduce the fraction \frac{44}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{22}{5}\times \frac{39}{29}$$

Multiply \frac{22}{5} times \frac{39}{29} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{22\times 39}{5\times 29}$$

Do the multiplications in the fraction \frac{22\times 39}{5\times 29}.

$$x=\frac{858}{145}$$