Solve 2.5divx=31/3div1.2

$$2.5 \div x=3 \frac{ 1 }{ 3 } \div 1.2$$

Solve for x

$$x=0.9$$

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.

$$2.5=x\times \frac{\frac{3\times 3+1}{3}}{1.2}$$

Multiply 3 and 3 to get 9.

$$2.5=x\times \frac{\frac{9+1}{3}}{1.2}$$

Add 9 and 1 to get 10.

$$2.5=x\times \frac{\frac{10}{3}}{1.2}$$

Express \frac{\frac{10}{3}}{1.2} as a single fraction.

$$2.5=x\times \frac{10}{3\times 1.2}$$

Multiply 3 and 1.2 to get 3.6.

$$2.5=x\times \frac{10}{3.6}$$

Expand \frac{10}{3.6} by multiplying both numerator and the denominator by 10.

$$2.5=x\times \frac{100}{36}$$

Reduce the fraction \frac{100}{36} to lowest terms by extracting and canceling out 4.

$$2.5=x\times \frac{25}{9}$$

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

$$x\times \frac{25}{9}=2.5$$

Multiply both sides by \frac{9}{25}, the reciprocal of \frac{25}{9}.

$$x=2.5\times \frac{9}{25}$$

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.

$$x=\frac{5}{2}\times \frac{9}{25}$$

Multiply \frac{5}{2} times \frac{9}{25} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{5\times 9}{2\times 25}$$

Do the multiplications in the fraction \frac{5\times 9}{2\times 25}.

$$x=\frac{45}{50}$$

Reduce the fraction \frac{45}{50} to lowest terms by extracting and canceling out 5.

$$x=\frac{9}{10}$$