Solve x+2/21.15=4/9

$$\frac { x + 2 } { 21.15 } = \frac { 4 } { 9 }$$

Solve for x

$$x=7.4$$

Steps for Solving Linear Equation

Multiply both sides by 21.15.

$$x+2=\frac{4}{9}\times 21.15$$

Convert decimal number 21.15 to fraction \frac{2115}{100}. Reduce the fraction \frac{2115}{100} to lowest terms by extracting and canceling out 5.

$$x+2=\frac{4}{9}\times \frac{423}{20}$$

Multiply \frac{4}{9} times \frac{423}{20} by multiplying numerator times numerator and denominator times denominator.

$$x+2=\frac{4\times 423}{9\times 20}$$

Do the multiplications in the fraction \frac{4\times 423}{9\times 20}.

$$x+2=\frac{1692}{180}$$

Reduce the fraction \frac{1692}{180} to lowest terms by extracting and canceling out 36.

$$x+2=\frac{47}{5}$$

Subtract 2 from both sides.

$$x=\frac{47}{5}-2$$

Convert 2 to fraction \frac{10}{5}.

$$x=\frac{47}{5}-\frac{10}{5}$$

Since \frac{47}{5} and \frac{10}{5} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{47-10}{5}$$

Subtract 10 from 47 to get 37.

$$x=\frac{37}{5}$$