Solve 15/24=5/4a-2/3

$$1 \frac { 5 } { 24 } = \frac { 5 } { 4 } a - \frac { 2 } { 3 }$$

Solve for a

$$a = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 24,4,3.

$$1\times 24+5=30a-16$$

Multiply 1 and 24 to get 24.

$$24+5=30a-16$$

Add 24 and 5 to get 29.

$$29=30a-16$$

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

$$30a-16=29$$

Add 16 to both sides.

$$30a=29+16$$

Add 29 and 16 to get 45.

$$30a=45$$

Divide both sides by 30.

$$a=\frac{45}{30}$$

Reduce the fraction \frac{45}{30} to lowest terms by extracting and canceling out 15.

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