Solve s+52/5=103/8

$$s + 5 \frac { 2 } { 5 } = 10 \frac { 3 } { 8 }$$

Solve for s

$$s = \frac{199}{40} = 4\frac{39}{40} = 4.975$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 40, the least common multiple of 5,8.

$$40s+8\left(5\times 5+2\right)=5\left(10\times 8+3\right)$$

Multiply 5 and 5 to get 25.

$$40s+8\left(25+2\right)=5\left(10\times 8+3\right)$$

Add 25 and 2 to get 27.

$$40s+8\times 27=5\left(10\times 8+3\right)$$

Multiply 8 and 27 to get 216.

$$40s+216=5\left(10\times 8+3\right)$$

Multiply 10 and 8 to get 80.

$$40s+216=5\left(80+3\right)$$

Add 80 and 3 to get 83.

$$40s+216=5\times 83$$

Multiply 5 and 83 to get 415.

$$40s+216=415$$

Subtract 216 from both sides.

$$40s=415-216$$

Subtract 216 from 415 to get 199.

$$40s=199$$

Divide both sides by 40.

$$s=\frac{199}{40}$$