Solve 47/8-4/8a=0

$$\frac { 47 } { 8 } - \frac { 4 } { 8 } a = 0$$

Solve for a

$$a = \frac{47}{4} = 11\frac{3}{4} = 11.75$$

Steps for Solving Linear Equation

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

$$\frac{47}{8}-\frac{1}{2}a=0$$

Subtract \frac{47}{8} from both sides. Anything subtracted from zero gives its negation.

$$-\frac{1}{2}a=-\frac{47}{8}$$

Multiply both sides by -2, the reciprocal of -\frac{1}{2}.

$$a=-\frac{47}{8}\left(-2\right)$$

Express -\frac{47}{8}\left(-2\right) as a single fraction.

$$a=\frac{-47\left(-2\right)}{8}$$

Multiply -47 and -2 to get 94.

$$a=\frac{94}{8}$$

Reduce the fraction \frac{94}{8} to lowest terms by extracting and canceling out 2.

$$a=\frac{47}{4}$$