Solve 81/5+(-31/2)

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

Evaluate

$$\frac{47}{10}=4.7$$

Solution Steps

Multiply 8 and 5 to get 40.

$$\frac{40+1}{5}-\frac{3\times 2+1}{2}$$

Add 40 and 1 to get 41.

$$\frac{41}{5}-\frac{3\times 2+1}{2}$$

Multiply 3 and 2 to get 6.

$$\frac{41}{5}-\frac{6+1}{2}$$

Add 6 and 1 to get 7.

$$\frac{41}{5}-\frac{7}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{41}{5} and \frac{7}{2} to fractions with denominator 10.

$$\frac{82}{10}-\frac{35}{10}$$

Since \frac{82}{10} and \frac{35}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{82-35}{10}$$

Subtract 35 from 82 to get 47.

$$\frac{47}{10}$$

Factor

$$\frac{47}{2 \cdot 5} = 4\frac{7}{10} = 4.7$$