Solve 11/4:0.5=1/4:x

$$1 \frac { 1 } { 4 } : 0.5 = \frac { 1 } { 4 } : x$$

Solve for x

$$x=0.1$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$x\times \frac{\frac{1\times 4+1}{4}}{0.5}=\frac{1}{4}$$

Multiply 1 and 4 to get 4.

$$x\times \frac{\frac{4+1}{4}}{0.5}=\frac{1}{4}$$

Add 4 and 1 to get 5.

$$x\times \frac{\frac{5}{4}}{0.5}=\frac{1}{4}$$

Express \frac{\frac{5}{4}}{0.5} as a single fraction.

$$x\times \frac{5}{4\times 0.5}=\frac{1}{4}$$

Multiply 4 and 0.5 to get 2.

$$x\times \frac{5}{2}=\frac{1}{4}$$

Multiply both sides by \frac{2}{5}, the reciprocal of \frac{5}{2}.

$$x=\frac{1}{4}\times \frac{2}{5}$$

Multiply \frac{1}{4} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1\times 2}{4\times 5}$$

Do the multiplications in the fraction \frac{1\times 2}{4\times 5}.

$$x=\frac{2}{20}$$

Reduce the fraction \frac{2}{20} to lowest terms by extracting and canceling out 2.

$$x=\frac{1}{10}$$