Solve xdiv(-13/13)=-0.26

$$x \div (-1 \frac{ 3 }{ 13 } )=-0.26$$

Solve for x

$$x=0.32$$

Steps for Solving Linear Equation

Multiply 1 and 13 to get 13.

$$\frac{x}{-\frac{13+3}{13}}=-0.26$$

Add 13 and 3 to get 16.

$$\frac{x}{-\frac{16}{13}}=-0.26$$

Multiply both sides by -\frac{16}{13}.

$$x=-0.26\left(-\frac{16}{13}\right)$$

Convert decimal number -0.26 to fraction -\frac{26}{100}. Reduce the fraction -\frac{26}{100} to lowest terms by extracting and canceling out 2.

$$x=-\frac{13}{50}\left(-\frac{16}{13}\right)$$

Multiply -\frac{13}{50} times -\frac{16}{13} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-13\left(-16\right)}{50\times 13}$$

Do the multiplications in the fraction \frac{-13\left(-16\right)}{50\times 13}.

$$x=\frac{208}{650}$$

Reduce the fraction \frac{208}{650} to lowest terms by extracting and canceling out 26.

$$x=\frac{8}{25}$$