Solve 64/5=a+21/4

$$6 \frac { 4 } { 5 } = a + 2 \frac { 1 } { 4 }$$

Solve for a

$$a = \frac{91}{20} = 4\frac{11}{20} = 4.55$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 5,4.

$$4\left(6\times 5+4\right)=20a+5\left(2\times 4+1\right)$$

Multiply 6 and 5 to get 30.

$$4\left(30+4\right)=20a+5\left(2\times 4+1\right)$$

Add 30 and 4 to get 34.

$$4\times 34=20a+5\left(2\times 4+1\right)$$

Multiply 4 and 34 to get 136.

$$136=20a+5\left(2\times 4+1\right)$$

Multiply 2 and 4 to get 8.

$$136=20a+5\left(8+1\right)$$

Add 8 and 1 to get 9.

$$136=20a+5\times 9$$

Multiply 5 and 9 to get 45.

$$136=20a+45$$

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

$$20a+45=136$$

Subtract 45 from both sides.

$$20a=136-45$$

Subtract 45 from 136 to get 91.

$$20a=91$$

Divide both sides by 20.

$$a=\frac{91}{20}$$