Solve 11/12+22/3

$$1 \frac { 1 } { 12 } + 2 \frac { 2 } { 3 }$$

Evaluate

$$\frac{15}{4}=3.75$$

Solution Steps

Multiply 1 and 12 to get 12.

$$\frac{12+1}{12}+\frac{2\times 3+2}{3}$$

Add 12 and 1 to get 13.

$$\frac{13}{12}+\frac{2\times 3+2}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{13}{12}+\frac{6+2}{3}$$

Add 6 and 2 to get 8.

$$\frac{13}{12}+\frac{8}{3}$$

Least common multiple of 12 and 3 is 12. Convert \frac{13}{12} and \frac{8}{3} to fractions with denominator 12.

$$\frac{13}{12}+\frac{32}{12}$$

Since \frac{13}{12} and \frac{32}{12} have the same denominator, add them by adding their numerators.

$$\frac{13+32}{12}$$

Add 13 and 32 to get 45.

$$\frac{45}{12}$$

Reduce the fraction \frac{45}{12} to lowest terms by extracting and canceling out 3.

$$\frac{15}{4}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {2}} = 3\frac{3}{4} = 3.75$$