Solve 23/10+67/15+511/12

$$2 \frac { 3 } { 10 } + 6 \frac { 7 } { 15 } + 5 \frac { 11 } { 12 }$$

Evaluate

$$\frac{881}{60}\approx 14.683333333$$

Solution Steps

Multiply 2 and 10 to get 20.

$$\frac{20+3}{10}+\frac{6\times 15+7}{15}+\frac{5\times 12+11}{12}$$

Add 20 and 3 to get 23.

$$\frac{23}{10}+\frac{6\times 15+7}{15}+\frac{5\times 12+11}{12}$$

Multiply 6 and 15 to get 90.

$$\frac{23}{10}+\frac{90+7}{15}+\frac{5\times 12+11}{12}$$

Add 90 and 7 to get 97.

$$\frac{23}{10}+\frac{97}{15}+\frac{5\times 12+11}{12}$$

Least common multiple of 10 and 15 is 30. Convert \frac{23}{10} and \frac{97}{15} to fractions with denominator 30.

$$\frac{69}{30}+\frac{194}{30}+\frac{5\times 12+11}{12}$$

Since \frac{69}{30} and \frac{194}{30} have the same denominator, add them by adding their numerators.

$$\frac{69+194}{30}+\frac{5\times 12+11}{12}$$

Add 69 and 194 to get 263.

$$\frac{263}{30}+\frac{5\times 12+11}{12}$$

Multiply 5 and 12 to get 60.

$$\frac{263}{30}+\frac{60+11}{12}$$

Add 60 and 11 to get 71.

$$\frac{263}{30}+\frac{71}{12}$$

Least common multiple of 30 and 12 is 60. Convert \frac{263}{30} and \frac{71}{12} to fractions with denominator 60.

$$\frac{526}{60}+\frac{355}{60}$$

Since \frac{526}{60} and \frac{355}{60} have the same denominator, add them by adding their numerators.

$$\frac{526+355}{60}$$

Add 526 and 355 to get 881.

$$\frac{881}{60}$$

Factor

$$\frac{881}{2 ^ {2} \cdot 3 \cdot 5} = 14\frac{41}{60} = 14.683333333333334$$