Solve 2.5/x=3/20div24%

$$\frac{ 2.5 }{ x } = \frac{ 3 }{ 20 } \div 24 \%$$

Solve for x

$$x=4$$

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.

$$2.5=\frac{25}{6}x\times \frac{3}{20}$$

Multiply \frac{25}{6} times \frac{3}{20} by multiplying numerator times numerator and denominator times denominator.

$$2.5=\frac{25\times 3}{6\times 20}x$$

Do the multiplications in the fraction \frac{25\times 3}{6\times 20}.

$$2.5=\frac{75}{120}x$$

Reduce the fraction \frac{75}{120} to lowest terms by extracting and canceling out 15.

$$2.5=\frac{5}{8}x$$

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

$$\frac{5}{8}x=2.5$$

Multiply both sides by \frac{8}{5}, the reciprocal of \frac{5}{8}.

$$x=2.5\times \frac{8}{5}$$

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.

$$x=\frac{5}{2}\times \frac{8}{5}$$

Multiply \frac{5}{2} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{5\times 8}{2\times 5}$$

Cancel out 5 in both numerator and denominator.

$$x=\frac{8}{2}$$

Divide 8 by 2 to get 4.

$$x=4$$