Solve 41/12+21/2

$$4 \frac { 1 } { 12 } + 2 \frac { 1 } { 2 }$$

Evaluate

$$\frac{79}{12}\approx 6.583333333$$

Solution Steps

Multiply 4 and 12 to get 48.

$$\frac{48+1}{12}+\frac{2\times 2+1}{2}$$

Add 48 and 1 to get 49.

$$\frac{49}{12}+\frac{2\times 2+1}{2}$$

Multiply 2 and 2 to get 4.

$$\frac{49}{12}+\frac{4+1}{2}$$

Add 4 and 1 to get 5.

$$\frac{49}{12}+\frac{5}{2}$$

Least common multiple of 12 and 2 is 12. Convert \frac{49}{12} and \frac{5}{2} to fractions with denominator 12.

$$\frac{49}{12}+\frac{30}{12}$$

Since \frac{49}{12} and \frac{30}{12} have the same denominator, add them by adding their numerators.

$$\frac{49+30}{12}$$

Add 49 and 30 to get 79.

$$\frac{79}{12}$$

Factor

$$\frac{79}{2 ^ {2} \cdot 3} = 6\frac{7}{12} = 6.583333333333333$$