Solve 3/10+5/12+1/6=

$$\frac{ 3 }{ 10 } + \frac{ 5 }{ 12 } + \frac{ 1 }{ 6 } =$$

Evaluate

$$\frac{53}{60}\approx 0.883333333$$

Solution Steps

Least common multiple of 10 and 12 is 60. Convert \frac{3}{10} and \frac{5}{12} to fractions with denominator 60.

$$\frac{18}{60}+\frac{25}{60}+\frac{1}{6}$$

Since \frac{18}{60} and \frac{25}{60} have the same denominator, add them by adding their numerators.

$$\frac{18+25}{60}+\frac{1}{6}$$

Add 18 and 25 to get 43.

$$\frac{43}{60}+\frac{1}{6}$$

Least common multiple of 60 and 6 is 60. Convert \frac{43}{60} and \frac{1}{6} to fractions with denominator 60.

$$\frac{43}{60}+\frac{10}{60}$$

Since \frac{43}{60} and \frac{10}{60} have the same denominator, add them by adding their numerators.

$$\frac{43+10}{60}$$

Add 43 and 10 to get 53.

$$\frac{53}{60}$$

Factor

$$\frac{53}{2 ^ {2} \cdot 3 \cdot 5} = 0.8833333333333333$$