Solve 27/16divx=-15/8

$$\frac { 27 } { 16 } \div x = \frac { - 15 } { 8 }$$

Solve for x

$$x=-\frac{9}{10}=-0.9$$

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 8x, the least common multiple of x,8.

$$8\times \frac{27}{16}=x\left(-15\right)$$

Express 8\times \frac{27}{16} as a single fraction.

$$\frac{8\times 27}{16}=x\left(-15\right)$$

Multiply 8 and 27 to get 216.

$$\frac{216}{16}=x\left(-15\right)$$

Reduce the fraction \frac{216}{16} to lowest terms by extracting and canceling out 8.

$$\frac{27}{2}=x\left(-15\right)$$

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

$$x\left(-15\right)=\frac{27}{2}$$

Divide both sides by -15.

$$x=\frac{\frac{27}{2}}{-15}$$

Express \frac{\frac{27}{2}}{-15} as a single fraction.

$$x=\frac{27}{2\left(-15\right)}$$

Multiply 2 and -15 to get -30.

$$x=\frac{27}{-30}$$

Reduce the fraction \frac{27}{-30} to lowest terms by extracting and canceling out 3.

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