Solve 10-33/5+51/10-22/5

$$10 - 3 \frac { 3 } { 5 } + 5 \frac { 1 } { 10 } - 2 \frac { 2 } { 5 }$$

Evaluate

$$\frac{91}{10}=9.1$$

Solution Steps

Multiply 3 and 5 to get 15.

$$10-\frac{15+3}{5}+\frac{5\times 10+1}{10}-\frac{2\times 5+2}{5}$$

Add 15 and 3 to get 18.

$$10-\frac{18}{5}+\frac{5\times 10+1}{10}-\frac{2\times 5+2}{5}$$

Convert 10 to fraction \frac{50}{5}.

$$\frac{50}{5}-\frac{18}{5}+\frac{5\times 10+1}{10}-\frac{2\times 5+2}{5}$$

Since \frac{50}{5} and \frac{18}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{50-18}{5}+\frac{5\times 10+1}{10}-\frac{2\times 5+2}{5}$$

Subtract 18 from 50 to get 32.

$$\frac{32}{5}+\frac{5\times 10+1}{10}-\frac{2\times 5+2}{5}$$

Multiply 5 and 10 to get 50.

$$\frac{32}{5}+\frac{50+1}{10}-\frac{2\times 5+2}{5}$$

Add 50 and 1 to get 51.

$$\frac{32}{5}+\frac{51}{10}-\frac{2\times 5+2}{5}$$

Least common multiple of 5 and 10 is 10. Convert \frac{32}{5} and \frac{51}{10} to fractions with denominator 10.

$$\frac{64}{10}+\frac{51}{10}-\frac{2\times 5+2}{5}$$

Since \frac{64}{10} and \frac{51}{10} have the same denominator, add them by adding their numerators.

$$\frac{64+51}{10}-\frac{2\times 5+2}{5}$$

Add 64 and 51 to get 115.

$$\frac{115}{10}-\frac{2\times 5+2}{5}$$

Reduce the fraction \frac{115}{10} to lowest terms by extracting and canceling out 5.

$$\frac{23}{2}-\frac{2\times 5+2}{5}$$

Multiply 2 and 5 to get 10.

$$\frac{23}{2}-\frac{10+2}{5}$$

Add 10 and 2 to get 12.

$$\frac{23}{2}-\frac{12}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{23}{2} and \frac{12}{5} to fractions with denominator 10.

$$\frac{115}{10}-\frac{24}{10}$$

Since \frac{115}{10} and \frac{24}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{115-24}{10}$$

Subtract 24 from 115 to get 91.

$$\frac{91}{10}$$

Factor

$$\frac{7 \cdot 13}{2 \cdot 5} = 9\frac{1}{10} = 9.1$$