Solve 0.3-x/0.3=11/12

$$\frac{ 0.3-x }{ 0.3 } = \frac{ 11 }{ 12 }$$

Solve for x

$$x=0.025$$

Steps for Solving Linear Equation

Multiply both sides by 0.3.

$$0.3-x=\frac{11}{12}\times 0.3$$

Convert decimal number 0.3 to fraction \frac{3}{10}.

$$0.3-x=\frac{11}{12}\times \frac{3}{10}$$

Multiply \frac{11}{12} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$0.3-x=\frac{11\times 3}{12\times 10}$$

Do the multiplications in the fraction \frac{11\times 3}{12\times 10}.

$$0.3-x=\frac{33}{120}$$

Reduce the fraction \frac{33}{120} to lowest terms by extracting and canceling out 3.

$$0.3-x=\frac{11}{40}$$

Subtract 0.3 from both sides.

$$-x=\frac{11}{40}-0.3$$

Convert decimal number 0.3 to fraction \frac{3}{10}.

$$-x=\frac{11}{40}-\frac{3}{10}$$

Least common multiple of 40 and 10 is 40. Convert \frac{11}{40} and \frac{3}{10} to fractions with denominator 40.

$$-x=\frac{11}{40}-\frac{12}{40}$$

Since \frac{11}{40} and \frac{12}{40} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{11-12}{40}$$

Subtract 12 from 11 to get -1.

$$-x=-\frac{1}{40}$$

Multiply both sides by -1.

$$x=\frac{1}{40}$$