Solve 23/4+11/2+62/3

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

Evaluate

$$\frac{131}{12}\approx 10.916666667$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+3}{4}+\frac{1\times 2+1}{2}+\frac{6\times 3+2}{3}$$

Add 8 and 3 to get 11.

$$\frac{11}{4}+\frac{1\times 2+1}{2}+\frac{6\times 3+2}{3}$$

Multiply 1 and 2 to get 2.

$$\frac{11}{4}+\frac{2+1}{2}+\frac{6\times 3+2}{3}$$

Add 2 and 1 to get 3.

$$\frac{11}{4}+\frac{3}{2}+\frac{6\times 3+2}{3}$$

Least common multiple of 4 and 2 is 4. Convert \frac{11}{4} and \frac{3}{2} to fractions with denominator 4.

$$\frac{11}{4}+\frac{6}{4}+\frac{6\times 3+2}{3}$$

Since \frac{11}{4} and \frac{6}{4} have the same denominator, add them by adding their numerators.

$$\frac{11+6}{4}+\frac{6\times 3+2}{3}$$

Add 11 and 6 to get 17.

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

Multiply 6 and 3 to get 18.

$$\frac{17}{4}+\frac{18+2}{3}$$

Add 18 and 2 to get 20.

$$\frac{17}{4}+\frac{20}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{17}{4} and \frac{20}{3} to fractions with denominator 12.

$$\frac{51}{12}+\frac{80}{12}$$

Since \frac{51}{12} and \frac{80}{12} have the same denominator, add them by adding their numerators.

$$\frac{51+80}{12}$$

Add 51 and 80 to get 131.

$$\frac{131}{12}$$

Factor

$$\frac{131}{2 ^ {2} \cdot 3} = 10\frac{11}{12} = 10.916666666666666$$