Solve 81/25+1/50+1/75+1/100

$$\frac { 81 } { 25 } + \frac { 1 } { 50 } + \frac { 1 } { 75 } + \frac { 1 } { 100 }$$

Evaluate

$$\frac{197}{60}\approx 3.283333333$$

Solution Steps

Least common multiple of 25 and 50 is 50. Convert \frac{81}{25} and \frac{1}{50} to fractions with denominator 50.

$$\frac{162}{50}+\frac{1}{50}+\frac{1}{75}+\frac{1}{100}$$

Since \frac{162}{50} and \frac{1}{50} have the same denominator, add them by adding their numerators.

$$\frac{162+1}{50}+\frac{1}{75}+\frac{1}{100}$$

Add 162 and 1 to get 163.

$$\frac{163}{50}+\frac{1}{75}+\frac{1}{100}$$

Least common multiple of 50 and 75 is 150. Convert \frac{163}{50} and \frac{1}{75} to fractions with denominator 150.

$$\frac{489}{150}+\frac{2}{150}+\frac{1}{100}$$

Since \frac{489}{150} and \frac{2}{150} have the same denominator, add them by adding their numerators.

$$\frac{489+2}{150}+\frac{1}{100}$$

Add 489 and 2 to get 491.

$$\frac{491}{150}+\frac{1}{100}$$

Least common multiple of 150 and 100 is 300. Convert \frac{491}{150} and \frac{1}{100} to fractions with denominator 300.

$$\frac{982}{300}+\frac{3}{300}$$

Since \frac{982}{300} and \frac{3}{300} have the same denominator, add them by adding their numerators.

$$\frac{982+3}{300}$$

Add 982 and 3 to get 985.

$$\frac{985}{300}$$

Reduce the fraction \frac{985}{300} to lowest terms by extracting and canceling out 5.

$$\frac{197}{60}$$

Factor

$$\frac{197}{2 ^ {2} \cdot 3 \cdot 5} = 3\frac{17}{60} = 3.283333333333333$$