Solve 11/3+13/4

$$1 \frac { 1 } { 3 } + 1 \frac { 3 } { 4 }$$

Evaluate

$$\frac{37}{12}\approx 3.083333333$$

Solution Steps

Multiply 1 and 3 to get 3.

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

Add 3 and 1 to get 4.

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

Multiply 1 and 4 to get 4.

$$\frac{4}{3}+\frac{4+3}{4}$$

Add 4 and 3 to get 7.

$$\frac{4}{3}+\frac{7}{4}$$

Least common multiple of 3 and 4 is 12. Convert \frac{4}{3} and \frac{7}{4} to fractions with denominator 12.

$$\frac{16}{12}+\frac{21}{12}$$

Since \frac{16}{12} and \frac{21}{12} have the same denominator, add them by adding their numerators.

$$\frac{16+21}{12}$$

Add 16 and 21 to get 37.

$$\frac{37}{12}$$

Factor

$$\frac{37}{2 ^ {2} \cdot 3} = 3\frac{1}{12} = 3.0833333333333335$$