Solve 55/6+611/24+13/16

$$5 \frac { 5 } { 6 } + 6 \frac { 11 } { 24 } + 1 \frac { 3 } { 16 }$$

Evaluate

$$\frac{647}{48}\approx 13.479166667$$

Solution Steps

Multiply 5 and 6 to get 30.

$$\frac{30+5}{6}+\frac{6\times 24+11}{24}+\frac{1\times 16+3}{16}$$

Add 30 and 5 to get 35.

$$\frac{35}{6}+\frac{6\times 24+11}{24}+\frac{1\times 16+3}{16}$$

Multiply 6 and 24 to get 144.

$$\frac{35}{6}+\frac{144+11}{24}+\frac{1\times 16+3}{16}$$

Add 144 and 11 to get 155.

$$\frac{35}{6}+\frac{155}{24}+\frac{1\times 16+3}{16}$$

Least common multiple of 6 and 24 is 24. Convert \frac{35}{6} and \frac{155}{24} to fractions with denominator 24.

$$\frac{140}{24}+\frac{155}{24}+\frac{1\times 16+3}{16}$$

Since \frac{140}{24} and \frac{155}{24} have the same denominator, add them by adding their numerators.

$$\frac{140+155}{24}+\frac{1\times 16+3}{16}$$

Add 140 and 155 to get 295.

$$\frac{295}{24}+\frac{1\times 16+3}{16}$$

Multiply 1 and 16 to get 16.

$$\frac{295}{24}+\frac{16+3}{16}$$

Add 16 and 3 to get 19.

$$\frac{295}{24}+\frac{19}{16}$$

Least common multiple of 24 and 16 is 48. Convert \frac{295}{24} and \frac{19}{16} to fractions with denominator 48.

$$\frac{590}{48}+\frac{57}{48}$$

Since \frac{590}{48} and \frac{57}{48} have the same denominator, add them by adding their numerators.

$$\frac{590+57}{48}$$

Add 590 and 57 to get 647.

$$\frac{647}{48}$$

Factor

$$\frac{647}{2 ^ {4} \cdot 3} = 13\frac{23}{48} = 13.479166666666666$$