Solve a+31/2=43/4

$$a + 3 \frac { 1 } { 2 } = 4 \frac { 3 } { 4 }$$

Solve for a

$$a = \frac{5}{4} = 1\frac{1}{4} = 1.25$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4, the least common multiple of 2,4.

$$4a+2\left(3\times 2+1\right)=4\times 4+3$$

Multiply 3 and 2 to get 6.

$$4a+2\left(6+1\right)=4\times 4+3$$

Add 6 and 1 to get 7.

$$4a+2\times 7=4\times 4+3$$

Multiply 2 and 7 to get 14.

$$4a+14=4\times 4+3$$

Multiply 4 and 4 to get 16.

$$4a+14=16+3$$

Add 16 and 3 to get 19.

$$4a+14=19$$

Subtract 14 from both sides.

$$4a=19-14$$

Subtract 14 from 19 to get 5.

$$4a=5$$

Divide both sides by 4.

$$a=\frac{5}{4}$$