Solve 84/5-31/10

$$8 \frac { 4 } { 5 } - 3 \frac { 1 } { 10 }$$

Evaluate

$$\frac{57}{10}=5.7$$

Solution Steps

Multiply 8 and 5 to get 40.

$$\frac{40+4}{5}-\frac{3\times 10+1}{10}$$

Add 40 and 4 to get 44.

$$\frac{44}{5}-\frac{3\times 10+1}{10}$$

Multiply 3 and 10 to get 30.

$$\frac{44}{5}-\frac{30+1}{10}$$

Add 30 and 1 to get 31.

$$\frac{44}{5}-\frac{31}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{44}{5} and \frac{31}{10} to fractions with denominator 10.

$$\frac{88}{10}-\frac{31}{10}$$

Since \frac{88}{10} and \frac{31}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{88-31}{10}$$

Subtract 31 from 88 to get 57.

$$\frac{57}{10}$$

Factor

$$\frac{3 \cdot 19}{2 \cdot 5} = 5\frac{7}{10} = 5.7$$