Solve 201/10+301/20+101/50

$$20 \frac { 1 } { 10 } + 30 \frac { 1 } { 20 } + 10 \frac { 1 } { 50 }$$

Evaluate

$$\frac{6017}{100}=60.17$$

Solution Steps

Multiply 20 and 10 to get 200.

$$\frac{200+1}{10}+\frac{30\times 20+1}{20}+\frac{10\times 50+1}{50}$$

Add 200 and 1 to get 201.

$$\frac{201}{10}+\frac{30\times 20+1}{20}+\frac{10\times 50+1}{50}$$

Multiply 30 and 20 to get 600.

$$\frac{201}{10}+\frac{600+1}{20}+\frac{10\times 50+1}{50}$$

Add 600 and 1 to get 601.

$$\frac{201}{10}+\frac{601}{20}+\frac{10\times 50+1}{50}$$

Least common multiple of 10 and 20 is 20. Convert \frac{201}{10} and \frac{601}{20} to fractions with denominator 20.

$$\frac{402}{20}+\frac{601}{20}+\frac{10\times 50+1}{50}$$

Since \frac{402}{20} and \frac{601}{20} have the same denominator, add them by adding their numerators.

$$\frac{402+601}{20}+\frac{10\times 50+1}{50}$$

Add 402 and 601 to get 1003.

$$\frac{1003}{20}+\frac{10\times 50+1}{50}$$

Multiply 10 and 50 to get 500.

$$\frac{1003}{20}+\frac{500+1}{50}$$

Add 500 and 1 to get 501.

$$\frac{1003}{20}+\frac{501}{50}$$

Least common multiple of 20 and 50 is 100. Convert \frac{1003}{20} and \frac{501}{50} to fractions with denominator 100.

$$\frac{5015}{100}+\frac{1002}{100}$$

Since \frac{5015}{100} and \frac{1002}{100} have the same denominator, add them by adding their numerators.

$$\frac{5015+1002}{100}$$

Add 5015 and 1002 to get 6017.

$$\frac{6017}{100}$$

Factor

$$\frac{11 \cdot 547}{2 ^ {2} \cdot 5 ^ {2}} = 60\frac{17}{100} = 60.17$$