Solve 65/12+47/16

$$6 \frac{ 5 }{ 12 } +4 \frac{ 7 }{ 16 }$$

Evaluate

$$\frac{521}{48}\approx 10.854166667$$

Solution Steps

Multiply 6 and 12 to get 72.

$$\frac{72+5}{12}+\frac{4\times 16+7}{16}$$

Add 72 and 5 to get 77.

$$\frac{77}{12}+\frac{4\times 16+7}{16}$$

Multiply 4 and 16 to get 64.

$$\frac{77}{12}+\frac{64+7}{16}$$

Add 64 and 7 to get 71.

$$\frac{77}{12}+\frac{71}{16}$$

Least common multiple of 12 and 16 is 48. Convert \frac{77}{12} and \frac{71}{16} to fractions with denominator 48.

$$\frac{308}{48}+\frac{213}{48}$$

Since \frac{308}{48} and \frac{213}{48} have the same denominator, add them by adding their numerators.

$$\frac{308+213}{48}$$

Add 308 and 213 to get 521.

$$\frac{521}{48}$$

Factor

$$\frac{521}{2 ^ {4} \cdot 3} = 10\frac{41}{48} = 10.854166666666666$$