Solve 22/3+21/4

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

Evaluate

$$\frac{59}{12}\approx 4.916666667$$

Solution Steps

Multiply 2 and 3 to get 6.

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

Add 6 and 2 to get 8.

$$\frac{8}{3}+\frac{2\times 4+1}{4}$$

Multiply 2 and 4 to get 8.

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

Add 8 and 1 to get 9.

$$\frac{8}{3}+\frac{9}{4}$$

Least common multiple of 3 and 4 is 12. Convert \frac{8}{3} and \frac{9}{4} to fractions with denominator 12.

$$\frac{32}{12}+\frac{27}{12}$$

Since \frac{32}{12} and \frac{27}{12} have the same denominator, add them by adding their numerators.

$$\frac{32+27}{12}$$

Add 32 and 27 to get 59.

$$\frac{59}{12}$$

Factor

$$\frac{59}{2 ^ {2} \cdot 3} = 4\frac{11}{12} = 4.916666666666667$$