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

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

Evaluate

$$\frac{143}{60}\approx 2.383333333$$

Solution Steps

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$\frac{5}{4}+\frac{1}{3}+\frac{4}{5}$$

Least common multiple of 4 and 3 is 12. Convert \frac{5}{4} and \frac{1}{3} to fractions with denominator 12.

$$\frac{15}{12}+\frac{4}{12}+\frac{4}{5}$$

Since \frac{15}{12} and \frac{4}{12} have the same denominator, add them by adding their numerators.

$$\frac{15+4}{12}+\frac{4}{5}$$

Add 15 and 4 to get 19.

$$\frac{19}{12}+\frac{4}{5}$$

Least common multiple of 12 and 5 is 60. Convert \frac{19}{12} and \frac{4}{5} to fractions with denominator 60.

$$\frac{95}{60}+\frac{48}{60}$$

Since \frac{95}{60} and \frac{48}{60} have the same denominator, add them by adding their numerators.

$$\frac{95+48}{60}$$

Add 95 and 48 to get 143.

$$\frac{143}{60}$$

Factor

$$\frac{11 \cdot 13}{2 ^ {2} \cdot 3 \cdot 5} = 2\frac{23}{60} = 2.3833333333333333$$