Solve (+53/8)+(-31/2)

$$( + 5 \frac { 3 } { 8 } ) + ( - 3 \frac { 1 } { 2 } )$$

Evaluate

$$\frac{15}{8}=1.875$$

Solution Steps

Multiply 5 and 8 to get 40.

$$\frac{40+3}{8}-\frac{3\times 2+1}{2}$$

Add 40 and 3 to get 43.

$$\frac{43}{8}-\frac{3\times 2+1}{2}$$

Multiply 3 and 2 to get 6.

$$\frac{43}{8}-\frac{6+1}{2}$$

Add 6 and 1 to get 7.

$$\frac{43}{8}-\frac{7}{2}$$

Least common multiple of 8 and 2 is 8. Convert \frac{43}{8} and \frac{7}{2} to fractions with denominator 8.

$$\frac{43}{8}-\frac{28}{8}$$

Since \frac{43}{8} and \frac{28}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{43-28}{8}$$

Subtract 28 from 43 to get 15.

$$\frac{15}{8}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {3}} = 1\frac{7}{8} = 1.875$$