Solve 94/5+31/4+91/2=

$$9 \frac{ 4 }{ 5 } +3 \frac{ 1 }{ 4 } +9 \frac{ 1 }{ 2 } =$$

Evaluate

$$\frac{451}{20}=22.55$$

Solution Steps

Multiply 9 and 5 to get 45.

$$\frac{45+4}{5}+\frac{3\times 4+1}{4}+\frac{9\times 2+1}{2}$$

Add 45 and 4 to get 49.

$$\frac{49}{5}+\frac{3\times 4+1}{4}+\frac{9\times 2+1}{2}$$

Multiply 3 and 4 to get 12.

$$\frac{49}{5}+\frac{12+1}{4}+\frac{9\times 2+1}{2}$$

Add 12 and 1 to get 13.

$$\frac{49}{5}+\frac{13}{4}+\frac{9\times 2+1}{2}$$

Least common multiple of 5 and 4 is 20. Convert \frac{49}{5} and \frac{13}{4} to fractions with denominator 20.

$$\frac{196}{20}+\frac{65}{20}+\frac{9\times 2+1}{2}$$

Since \frac{196}{20} and \frac{65}{20} have the same denominator, add them by adding their numerators.

$$\frac{196+65}{20}+\frac{9\times 2+1}{2}$$

Add 196 and 65 to get 261.

$$\frac{261}{20}+\frac{9\times 2+1}{2}$$

Multiply 9 and 2 to get 18.

$$\frac{261}{20}+\frac{18+1}{2}$$

Add 18 and 1 to get 19.

$$\frac{261}{20}+\frac{19}{2}$$

Least common multiple of 20 and 2 is 20. Convert \frac{261}{20} and \frac{19}{2} to fractions with denominator 20.

$$\frac{261}{20}+\frac{190}{20}$$

Since \frac{261}{20} and \frac{190}{20} have the same denominator, add them by adding their numerators.

$$\frac{261+190}{20}$$

Add 261 and 190 to get 451.

$$\frac{451}{20}$$

Factor

$$\frac{11 \cdot 41}{2 ^ {2} \cdot 5} = 22\frac{11}{20} = 22.55$$