Solve 199/20+221/10

$$19 \frac { 9 } { 20 } + 22 \frac { 1 } { 10 }$$

Evaluate

$$\frac{831}{20}=41.55$$

Solution Steps

Multiply 19 and 20 to get 380.

$$\frac{380+9}{20}+\frac{22\times 10+1}{10}$$

Add 380 and 9 to get 389.

$$\frac{389}{20}+\frac{22\times 10+1}{10}$$

Multiply 22 and 10 to get 220.

$$\frac{389}{20}+\frac{220+1}{10}$$

Add 220 and 1 to get 221.

$$\frac{389}{20}+\frac{221}{10}$$

Least common multiple of 20 and 10 is 20. Convert \frac{389}{20} and \frac{221}{10} to fractions with denominator 20.

$$\frac{389}{20}+\frac{442}{20}$$

Since \frac{389}{20} and \frac{442}{20} have the same denominator, add them by adding their numerators.

$$\frac{389+442}{20}$$

Add 389 and 442 to get 831.

$$\frac{831}{20}$$

Factor

$$\frac{3 \cdot 277}{2 ^ {2} \cdot 5} = 41\frac{11}{20} = 41.55$$