Solve {r}{63/5}{-41/10}

$$\left. \begin{array} { r } { 6 \frac { 3 } { 5 } } \\ { - 4 \frac { 1 } { 10 } } \end{array} \right.$$

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

Multiply 6 and 5 to get 30.

$$\frac{30+3}{5}-\frac{4\times 10+1}{10}$$

Add 30 and 3 to get 33.

$$\frac{33}{5}-\frac{4\times 10+1}{10}$$

Multiply 4 and 10 to get 40.

$$\frac{33}{5}-\frac{40+1}{10}$$

Add 40 and 1 to get 41.

$$\frac{33}{5}-\frac{41}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{33}{5} and \frac{41}{10} to fractions with denominator 10.

$$\frac{66}{10}-\frac{41}{10}$$

Since \frac{66}{10} and \frac{41}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{66-41}{10}$$

Subtract 41 from 66 to get 25.

$$\frac{25}{10}$$

Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$