Solve a-2/a*100=140

$$\frac { a - 2 } { a } \times 100 = 140$$

Solve for a

$$a=-5$$

Steps for Solving Linear Equation

Divide both sides by 100.

$$\frac{a-2}{a}=\frac{140}{100}$$

Reduce the fraction \frac{140}{100} to lowest terms by extracting and canceling out 20.

$$\frac{a-2}{a}=\frac{7}{5}$$

Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5a, the least common multiple of a,5.

$$5\left(a-2\right)=7a$$

Use the distributive property to multiply 5 by a-2.

$$5a-10=7a$$

Subtract 7a from both sides.

$$5a-10-7a=0$$

Combine 5a and -7a to get -2a.

$$-2a-10=0$$

Add 10 to both sides. Anything plus zero gives itself.

$$-2a=10$$

Divide both sides by -2.

$$a=\frac{10}{-2}$$

Divide 10 by -2 to get -5.

$$a=-5$$