Solve 11/12+25/18

$$1 \frac { 1 } { 12 } + 2 \frac { 5 } { 18 }$$

Evaluate

$$\frac{121}{36}\approx 3.361111111$$

Solution Steps

Multiply 1 and 12 to get 12.

$$\frac{12+1}{12}+\frac{2\times 18+5}{18}$$

Add 12 and 1 to get 13.

$$\frac{13}{12}+\frac{2\times 18+5}{18}$$

Multiply 2 and 18 to get 36.

$$\frac{13}{12}+\frac{36+5}{18}$$

Add 36 and 5 to get 41.

$$\frac{13}{12}+\frac{41}{18}$$

Least common multiple of 12 and 18 is 36. Convert \frac{13}{12} and \frac{41}{18} to fractions with denominator 36.

$$\frac{39}{36}+\frac{82}{36}$$

Since \frac{39}{36} and \frac{82}{36} have the same denominator, add them by adding their numerators.

$$\frac{39+82}{36}$$

Add 39 and 82 to get 121.

$$\frac{121}{36}$$

Factor

$$\frac{11 ^ {2}}{2 ^ {2} \cdot 3 ^ {2}} = 3\frac{13}{36} = 3.361111111111111$$