Solve 173/50-1514/25+81/5

$$17 \frac { 3 } { 50 } - 15 \frac { 14 } { 25 } + 8 \frac { 1 } { 5 }$$

Evaluate

$$\frac{97}{10}=9.7$$

Solution Steps

Multiply 17 and 50 to get 850.

$$\frac{850+3}{50}-\frac{15\times 25+14}{25}+\frac{8\times 5+1}{5}$$

Add 850 and 3 to get 853.

$$\frac{853}{50}-\frac{15\times 25+14}{25}+\frac{8\times 5+1}{5}$$

Multiply 15 and 25 to get 375.

$$\frac{853}{50}-\frac{375+14}{25}+\frac{8\times 5+1}{5}$$

Add 375 and 14 to get 389.

$$\frac{853}{50}-\frac{389}{25}+\frac{8\times 5+1}{5}$$

Least common multiple of 50 and 25 is 50. Convert \frac{853}{50} and \frac{389}{25} to fractions with denominator 50.

$$\frac{853}{50}-\frac{778}{50}+\frac{8\times 5+1}{5}$$

Since \frac{853}{50} and \frac{778}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{853-778}{50}+\frac{8\times 5+1}{5}$$

Subtract 778 from 853 to get 75.

$$\frac{75}{50}+\frac{8\times 5+1}{5}$$

Reduce the fraction \frac{75}{50} to lowest terms by extracting and canceling out 25.

$$\frac{3}{2}+\frac{8\times 5+1}{5}$$

Multiply 8 and 5 to get 40.

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

Add 40 and 1 to get 41.

$$\frac{3}{2}+\frac{41}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{3}{2} and \frac{41}{5} to fractions with denominator 10.

$$\frac{15}{10}+\frac{82}{10}$$

Since \frac{15}{10} and \frac{82}{10} have the same denominator, add them by adding their numerators.

$$\frac{15+82}{10}$$

Add 15 and 82 to get 97.

$$\frac{97}{10}$$

Factor

$$\frac{97}{2 \cdot 5} = 9\frac{7}{10} = 9.7$$