Solve 1.7/x=1.3/1.5

$$\frac { 1.7 } { x } = \frac { 1.3 } { 1.5 }$$

Solve for x

$$x = \frac{51}{26} = 1\frac{25}{26} \approx 1.961538462$$

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.

$$1.7=x\times \frac{1.3}{1.5}$$

Expand \frac{1.3}{1.5} by multiplying both numerator and the denominator by 10.

$$1.7=x\times \frac{13}{15}$$

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

$$x\times \frac{13}{15}=1.7$$

Multiply both sides by \frac{15}{13}, the reciprocal of \frac{13}{15}.

$$x=1.7\times \frac{15}{13}$$

Convert decimal number 1.7 to fraction \frac{17}{10}.

$$x=\frac{17}{10}\times \frac{15}{13}$$

Multiply \frac{17}{10} times \frac{15}{13} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{17\times 15}{10\times 13}$$

Do the multiplications in the fraction \frac{17\times 15}{10\times 13}.

$$x=\frac{255}{130}$$

Reduce the fraction \frac{255}{130} to lowest terms by extracting and canceling out 5.

$$x=\frac{51}{26}$$