Solve 16/281,15=x*1,045/308,15

$$\frac { 16 } { 281,15 } = \frac { x \times 1,045 } { 308,15 }$$

Solve for x

$$x=\frac{19721600}{1175207}\approx 16,781384046$$

Steps for Solving Linear Equation

Expand \frac{16}{281,15} by multiplying both numerator and the denominator by 100.

$$\frac{1600}{28115}=\frac{x\times 1,045}{308,15}$$

Reduce the fraction \frac{1600}{28115} to lowest terms by extracting and canceling out 5.

$$\frac{320}{5623}=\frac{x\times 1,045}{308,15}$$

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

$$\frac{x\times 1,045}{308,15}=\frac{320}{5623}$$

Multiply both sides by 308,15.

$$x\times 1,045=\frac{320}{5623}\times 308,15$$

Convert decimal number 308,15 to fraction \frac{30815}{100}. Reduce the fraction \frac{30815}{100} to lowest terms by extracting and canceling out 5.

$$x\times 1,045=\frac{320}{5623}\times \frac{6163}{20}$$

Multiply \frac{320}{5623} times \frac{6163}{20} by multiplying numerator times numerator and denominator times denominator.

$$x\times 1,045=\frac{320\times 6163}{5623\times 20}$$

Do the multiplications in the fraction \frac{320\times 6163}{5623\times 20}.

$$x\times 1,045=\frac{1972160}{112460}$$

Reduce the fraction \frac{1972160}{112460} to lowest terms by extracting and canceling out 20.

$$x\times 1,045=\frac{98608}{5623}$$

The equation is in standard form.

$$1,045x=\frac{98608}{5623}$$

Divide both sides of the equation by 1,045, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{1,045x}{1,045}=\frac{\frac{98608}{5623}}{1,045}$$

Dividing by 1,045 undoes the multiplication by 1,045.

$$x=\frac{\frac{98608}{5623}}{1,045}$$

Divide \frac{98608}{5623} by 1,045 by multiplying \frac{98608}{5623} by the reciprocal of 1,045.

$$x=\frac{19721600}{1175207}$$