Solve 1.2/0.22=x/1.3

$$\frac { 1.2 } { 0.22 } = \frac { x } { 1.3 }$$

Solve for x

$$x = \frac{78}{11} = 7\frac{1}{11} \approx 7.090909091$$

Steps for Solving Linear Equation

Expand \frac{1.2}{0.22} by multiplying both numerator and the denominator by 100.

$$\frac{120}{22}=\frac{x}{1.3}$$

Reduce the fraction \frac{120}{22} to lowest terms by extracting and canceling out 2.

$$\frac{60}{11}=\frac{x}{1.3}$$

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

$$\frac{x}{1.3}=\frac{60}{11}$$

Multiply both sides by 1.3.

$$x=\frac{60}{11}\times 1.3$$

Convert decimal number 1.3 to fraction \frac{13}{10}.

$$x=\frac{60}{11}\times \frac{13}{10}$$

Multiply \frac{60}{11} times \frac{13}{10} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{60\times 13}{11\times 10}$$

Do the multiplications in the fraction \frac{60\times 13}{11\times 10}.

$$x=\frac{780}{110}$$

Reduce the fraction \frac{780}{110} to lowest terms by extracting and canceling out 10.

$$x=\frac{78}{11}$$