Solve 9%+x=25%:11/4

$$9 \% + x = 25 \% : 1 \frac { 1 } { 4 }$$

Solve for x

$$x=\frac{11}{100}=0.11$$

Steps for Solving Linear Equation

Divide \frac{25}{100} by \frac{1\times 4+1}{4} by multiplying \frac{25}{100} by the reciprocal of \frac{1\times 4+1}{4}.

$$\frac{9}{100}+x=\frac{25\times 4}{100\left(1\times 4+1\right)}$$

Cancel out 4\times 25 in both numerator and denominator.

$$\frac{9}{100}+x=\frac{1}{1+4}$$

Add 1 and 4 to get 5.

$$\frac{9}{100}+x=\frac{1}{5}$$

Subtract \frac{9}{100} from both sides.

$$x=\frac{1}{5}-\frac{9}{100}$$

Least common multiple of 5 and 100 is 100. Convert \frac{1}{5} and \frac{9}{100} to fractions with denominator 100.

$$x=\frac{20}{100}-\frac{9}{100}$$

Since \frac{20}{100} and \frac{9}{100} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{20-9}{100}$$

Subtract 9 from 20 to get 11.

$$x=\frac{11}{100}$$