Solve 1/7.7=1.8/x

$$\frac { 1 } { 7.7 } = \frac { 1.8 } { x }$$

Solve for x

$$x=13.86$$

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.

$$x\times \frac{1}{7.7}=1.8$$

Expand \frac{1}{7.7} by multiplying both numerator and the denominator by 10.

$$x\times \frac{10}{77}=1.8$$

Multiply both sides by \frac{77}{10}, the reciprocal of \frac{10}{77}.

$$x=1.8\times \frac{77}{10}$$

Convert decimal number 1.8 to fraction \frac{18}{10}. Reduce the fraction \frac{18}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{9}{5}\times \frac{77}{10}$$

Multiply \frac{9}{5} times \frac{77}{10} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{9\times 77}{5\times 10}$$

Do the multiplications in the fraction \frac{9\times 77}{5\times 10}.

$$x=\frac{693}{50}$$