Solve 811/12+41/3

$$8 \frac { 11 } { 12 } + 4 \frac { 1 } { 3 }$$

Evaluate

$$\frac{53}{4}=13.25$$

Solution Steps

Multiply 8 and 12 to get 96.

$$\frac{96+11}{12}+\frac{4\times 3+1}{3}$$

Add 96 and 11 to get 107.

$$\frac{107}{12}+\frac{4\times 3+1}{3}$$

Multiply 4 and 3 to get 12.

$$\frac{107}{12}+\frac{12+1}{3}$$

Add 12 and 1 to get 13.

$$\frac{107}{12}+\frac{13}{3}$$

Least common multiple of 12 and 3 is 12. Convert \frac{107}{12} and \frac{13}{3} to fractions with denominator 12.

$$\frac{107}{12}+\frac{52}{12}$$

Since \frac{107}{12} and \frac{52}{12} have the same denominator, add them by adding their numerators.

$$\frac{107+52}{12}$$

Add 107 and 52 to get 159.

$$\frac{159}{12}$$

Reduce the fraction \frac{159}{12} to lowest terms by extracting and canceling out 3.

$$\frac{53}{4}$$

Factor

$$\frac{53}{2 ^ {2}} = 13\frac{1}{4} = 13.25$$