Solve 5/2+4/5+5/6=

$$\frac { 5 } { 2 } + \frac { 4 } { 5 } + \frac { 5 } { 6 } =$$

Evaluate

$$\frac{62}{15}\approx 4.133333333$$

Solution Steps

Least common multiple of 2 and 5 is 10. Convert \frac{5}{2} and \frac{4}{5} to fractions with denominator 10.

$$\frac{25}{10}+\frac{8}{10}+\frac{5}{6}$$

Since \frac{25}{10} and \frac{8}{10} have the same denominator, add them by adding their numerators.

$$\frac{25+8}{10}+\frac{5}{6}$$

Add 25 and 8 to get 33.

$$\frac{33}{10}+\frac{5}{6}$$

Least common multiple of 10 and 6 is 30. Convert \frac{33}{10} and \frac{5}{6} to fractions with denominator 30.

$$\frac{99}{30}+\frac{25}{30}$$

Since \frac{99}{30} and \frac{25}{30} have the same denominator, add them by adding their numerators.

$$\frac{99+25}{30}$$

Add 99 and 25 to get 124.

$$\frac{124}{30}$$

Reduce the fraction \frac{124}{30} to lowest terms by extracting and canceling out 2.

$$\frac{62}{15}$$

Factor

$$\frac{2 \cdot 31}{3 \cdot 5} = 4\frac{2}{15} = 4.133333333333334$$