Solve 59/16+211/12

$$5 \frac { 9 } { 16 } + 2 \frac { 11 } { 12 }$$

Evaluate

$$\frac{407}{48}\approx 8.479166667$$

Solution Steps

Multiply 5 and 16 to get 80.

$$\frac{80+9}{16}+\frac{2\times 12+11}{12}$$

Add 80 and 9 to get 89.

$$\frac{89}{16}+\frac{2\times 12+11}{12}$$

Multiply 2 and 12 to get 24.

$$\frac{89}{16}+\frac{24+11}{12}$$

Add 24 and 11 to get 35.

$$\frac{89}{16}+\frac{35}{12}$$

Least common multiple of 16 and 12 is 48. Convert \frac{89}{16} and \frac{35}{12} to fractions with denominator 48.

$$\frac{267}{48}+\frac{140}{48}$$

Since \frac{267}{48} and \frac{140}{48} have the same denominator, add them by adding their numerators.

$$\frac{267+140}{48}$$

Add 267 and 140 to get 407.

$$\frac{407}{48}$$

Factor

$$\frac{11 \cdot 37}{2 ^ {4} \cdot 3} = 8\frac{23}{48} = 8.479166666666666$$