Solve 22/3+13/4

$$2 \frac { 2 } { 3 } + 1 \frac { 3 } { 4 }$$

Evaluate

$$\frac{53}{12}\approx 4.416666667$$

Solution Steps

Multiply 2 and 3 to get 6.

$$\frac{6+2}{3}+\frac{1\times 4+3}{4}$$

Add 6 and 2 to get 8.

$$\frac{8}{3}+\frac{1\times 4+3}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{8}{3}+\frac{4+3}{4}$$

Add 4 and 3 to get 7.

$$\frac{8}{3}+\frac{7}{4}$$

Least common multiple of 3 and 4 is 12. Convert \frac{8}{3} and \frac{7}{4} to fractions with denominator 12.

$$\frac{32}{12}+\frac{21}{12}$$

Since \frac{32}{12} and \frac{21}{12} have the same denominator, add them by adding their numerators.

$$\frac{32+21}{12}$$

Add 32 and 21 to get 53.

$$\frac{53}{12}$$

Factor

$$\frac{53}{2 ^ {2} \cdot 3} = 4\frac{5}{12} = 4.416666666666667$$