Solve 2.4div1.5=6divx

$$2.4 \div 1.5=6 \div x$$

Solve for x

$$x=3.75$$

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.

$$x\times \frac{2.4}{1.5}=6$$

Expand \frac{2.4}{1.5} by multiplying both numerator and the denominator by 10.

$$x\times \frac{24}{15}=6$$

Reduce the fraction \frac{24}{15} to lowest terms by extracting and canceling out 3.

$$x\times \frac{8}{5}=6$$

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

$$x=6\times \frac{5}{8}$$

Express 6\times \frac{5}{8} as a single fraction.

$$x=\frac{6\times 5}{8}$$

Multiply 6 and 5 to get 30.

$$x=\frac{30}{8}$$

Reduce the fraction \frac{30}{8} to lowest terms by extracting and canceling out 2.

$$x=\frac{15}{4}$$