Solve 111/12+38/12

$$1 \frac { 11 } { 12 } + 3 \frac { 8 } { 12 }$$

Evaluate

$$\frac{67}{12}\approx 5.583333333$$

Solution Steps

Multiply 1 and 12 to get 12.

$$\frac{12+11}{12}+\frac{3\times 12+8}{12}$$

Add 12 and 11 to get 23.

$$\frac{23}{12}+\frac{3\times 12+8}{12}$$

Multiply 3 and 12 to get 36.

$$\frac{23}{12}+\frac{36+8}{12}$$

Add 36 and 8 to get 44.

$$\frac{23}{12}+\frac{44}{12}$$

Since \frac{23}{12} and \frac{44}{12} have the same denominator, add them by adding their numerators.

$$\frac{23+44}{12}$$

Add 23 and 44 to get 67.

$$\frac{67}{12}$$

Factor

$$\frac{67}{2 ^ {2} \cdot 3} = 5\frac{7}{12} = 5.583333333333333$$