Solve 11/12+71/3

$$\frac { 11 } { 12 } + 7 \frac { 1 } { 3 }$$

Evaluate

$$\frac{33}{4}=8.25$$

Solution Steps

Multiply 7 and 3 to get 21.

$$\frac{11}{12}+\frac{21+1}{3}$$

Add 21 and 1 to get 22.

$$\frac{11}{12}+\frac{22}{3}$$

Least common multiple of 12 and 3 is 12. Convert \frac{11}{12} and \frac{22}{3} to fractions with denominator 12.

$$\frac{11}{12}+\frac{88}{12}$$

Since \frac{11}{12} and \frac{88}{12} have the same denominator, add them by adding their numerators.

$$\frac{11+88}{12}$$

Add 11 and 88 to get 99.

$$\frac{99}{12}$$

Reduce the fraction \frac{99}{12} to lowest terms by extracting and canceling out 3.

$$\frac{33}{4}$$

Factor

$$\frac{3 \cdot 11}{2 ^ {2}} = 8\frac{1}{4} = 8.25$$