Solve x/2.5*80%=14

$$\frac{ x }{ 2.5 } \times 80 \% =14$$

Solve for x

$$x=43.75$$

Steps for Solving Linear Equation

Reduce the fraction \frac{80}{100} to lowest terms by extracting and canceling out 20.

$$\frac{x}{2.5}\times \frac{4}{5}=14$$

Multiply both sides by \frac{5}{4}, the reciprocal of \frac{4}{5}.

$$\frac{x}{2.5}=14\times \frac{5}{4}$$

Express 14\times \frac{5}{4} as a single fraction.

$$\frac{x}{2.5}=\frac{14\times 5}{4}$$

Multiply 14 and 5 to get 70.

$$\frac{x}{2.5}=\frac{70}{4}$$

Reduce the fraction \frac{70}{4} to lowest terms by extracting and canceling out 2.

$$\frac{x}{2.5}=\frac{35}{2}$$

Multiply both sides by 2.5.

$$x=\frac{35}{2}\times 2.5$$

Convert decimal number 2.5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{35}{2}\times \frac{5}{2}$$

Multiply \frac{35}{2} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{35\times 5}{2\times 2}$$

Do the multiplications in the fraction \frac{35\times 5}{2\times 2}.

$$x=\frac{175}{4}$$