Solve 41/4+22/3

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

Evaluate

$$\frac{83}{12}\approx 6.916666667$$

Solution Steps

Multiply 4 and 4 to get 16.

$$\frac{16+1}{4}+\frac{2\times 3+2}{3}$$

Add 16 and 1 to get 17.

$$\frac{17}{4}+\frac{2\times 3+2}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{17}{4}+\frac{6+2}{3}$$

Add 6 and 2 to get 8.

$$\frac{17}{4}+\frac{8}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{17}{4} and \frac{8}{3} to fractions with denominator 12.

$$\frac{51}{12}+\frac{32}{12}$$

Since \frac{51}{12} and \frac{32}{12} have the same denominator, add them by adding their numerators.

$$\frac{51+32}{12}$$

Add 51 and 32 to get 83.

$$\frac{83}{12}$$

Factor

$$\frac{83}{2 ^ {2} \cdot 3} = 6\frac{11}{12} = 6.916666666666667$$