Solve 5a-3/4=2a-2/3

$$5 a - \frac { 3 } { 4 } = 2 a - \frac { 2 } { 3 }$$

Solve for a

$$a=\frac{1}{36}\approx 0.027777778$$

Steps for Solving Linear Equation

Subtract 2a from both sides.

$$5a-\frac{3}{4}-2a=-\frac{2}{3}$$

Combine 5a and -2a to get 3a.

$$3a-\frac{3}{4}=-\frac{2}{3}$$

Add \frac{3}{4} to both sides.

$$3a=-\frac{2}{3}+\frac{3}{4}$$

Least common multiple of 3 and 4 is 12. Convert -\frac{2}{3} and \frac{3}{4} to fractions with denominator 12.

$$3a=-\frac{8}{12}+\frac{9}{12}$$

Since -\frac{8}{12} and \frac{9}{12} have the same denominator, add them by adding their numerators.

$$3a=\frac{-8+9}{12}$$

Add -8 and 9 to get 1.

$$3a=\frac{1}{12}$$

Divide both sides by 3.

$$a=\frac{\frac{1}{12}}{3}$$

Express \frac{\frac{1}{12}}{3} as a single fraction.

$$a=\frac{1}{12\times 3}$$

Multiply 12 and 3 to get 36.

$$a=\frac{1}{36}$$