Solve (a/3-5/6)*1/4=1/24

$$( \frac { a } { 3 } - \frac { 5 } { 6 } ) \cdot \frac { 1 } { 4 } = \frac { 1 } { 24 }$$

Solve for a

$$a=3$$

Steps for Solving Linear Equation

Multiply both sides by 4, the reciprocal of \frac{1}{4}.

$$\frac{a}{3}-\frac{5}{6}=\frac{1}{24}\times 4$$

Multiply \frac{1}{24} and 4 to get \frac{4}{24}.

$$\frac{a}{3}-\frac{5}{6}=\frac{4}{24}$$

Reduce the fraction \frac{4}{24} to lowest terms by extracting and canceling out 4.

$$\frac{a}{3}-\frac{5}{6}=\frac{1}{6}$$

Multiply both sides of the equation by 6, the least common multiple of 3,6.

$$2a-5=1$$

Add 5 to both sides.

$$2a=1+5$$

Add 1 and 5 to get 6.

$$2a=6$$

Divide both sides by 2.

$$a=\frac{6}{2}$$

Divide 6 by 2 to get 3.

$$a=3$$