Solve 22/3+83/4=

$$2 \frac { 2 } { 3 } + 8 \frac { 3 } { 4 } =$$

Evaluate

$$\frac{137}{12}\approx 11.416666667$$

Solution Steps

Multiply 2 and 3 to get 6.

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

Add 6 and 2 to get 8.

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

Multiply 8 and 4 to get 32.

$$\frac{8}{3}+\frac{32+3}{4}$$

Add 32 and 3 to get 35.

$$\frac{8}{3}+\frac{35}{4}$$

Least common multiple of 3 and 4 is 12. Convert \frac{8}{3} and \frac{35}{4} to fractions with denominator 12.

$$\frac{32}{12}+\frac{105}{12}$$

Since \frac{32}{12} and \frac{105}{12} have the same denominator, add them by adding their numerators.

$$\frac{32+105}{12}$$

Add 32 and 105 to get 137.

$$\frac{137}{12}$$

Factor

$$\frac{137}{2 ^ {2} \cdot 3} = 11\frac{5}{12} = 11.416666666666666$$