Solve 5/4+6/5+7/15+7/10

$$\frac { 5 } { 4 } + \frac { 6 } { 5 } + \frac { 7 } { 15 } + \frac { 7 } { 10 }$$

Evaluate

$$\frac{217}{60}\approx 3.616666667$$

Solution Steps

Least common multiple of 4 and 5 is 20. Convert \frac{5}{4} and \frac{6}{5} to fractions with denominator 20.

$$\frac{25}{20}+\frac{24}{20}+\frac{7}{15}+\frac{7}{10}$$

Since \frac{25}{20} and \frac{24}{20} have the same denominator, add them by adding their numerators.

$$\frac{25+24}{20}+\frac{7}{15}+\frac{7}{10}$$

Add 25 and 24 to get 49.

$$\frac{49}{20}+\frac{7}{15}+\frac{7}{10}$$

Least common multiple of 20 and 15 is 60. Convert \frac{49}{20} and \frac{7}{15} to fractions with denominator 60.

$$\frac{147}{60}+\frac{28}{60}+\frac{7}{10}$$

Since \frac{147}{60} and \frac{28}{60} have the same denominator, add them by adding their numerators.

$$\frac{147+28}{60}+\frac{7}{10}$$

Add 147 and 28 to get 175.

$$\frac{175}{60}+\frac{7}{10}$$

Reduce the fraction \frac{175}{60} to lowest terms by extracting and canceling out 5.

$$\frac{35}{12}+\frac{7}{10}$$

Least common multiple of 12 and 10 is 60. Convert \frac{35}{12} and \frac{7}{10} to fractions with denominator 60.

$$\frac{175}{60}+\frac{42}{60}$$

Since \frac{175}{60} and \frac{42}{60} have the same denominator, add them by adding their numerators.

$$\frac{175+42}{60}$$

Add 175 and 42 to get 217.

$$\frac{217}{60}$$

Factor

$$\frac{7 \cdot 31}{2 ^ {2} \cdot 3 \cdot 5} = 3\frac{37}{60} = 3.6166666666666667$$