Solve 1.65/1.6=1.5/x

$$\frac { 1.65 } { 1.6 } = \frac { 1.5 } { x }$$

Solve for x

$$x = \frac{16}{11} = 1\frac{5}{11} \approx 1.454545455$$

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.

$$x\times \frac{1.65}{1.6}=1.5$$

Expand \frac{1.65}{1.6} by multiplying both numerator and the denominator by 100.

$$x\times \frac{165}{160}=1.5$$

Reduce the fraction \frac{165}{160} to lowest terms by extracting and canceling out 5.

$$x\times \frac{33}{32}=1.5$$

Multiply both sides by \frac{32}{33}, the reciprocal of \frac{33}{32}.

$$x=1.5\times \frac{32}{33}$$

Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{3}{2}\times \frac{32}{33}$$

Multiply \frac{3}{2} times \frac{32}{33} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{3\times 32}{2\times 33}$$

Do the multiplications in the fraction \frac{3\times 32}{2\times 33}.

$$x=\frac{96}{66}$$

Reduce the fraction \frac{96}{66} to lowest terms by extracting and canceling out 6.

$$x=\frac{16}{11}$$