Solve 11/8+22/3

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

Evaluate

$$\frac{91}{24}\approx 3.791666667$$

Solution Steps

Multiply 1 and 8 to get 8.

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

Add 8 and 1 to get 9.

$$\frac{9}{8}+\frac{2\times 3+2}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{9}{8}+\frac{6+2}{3}$$

Add 6 and 2 to get 8.

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

Least common multiple of 8 and 3 is 24. Convert \frac{9}{8} and \frac{8}{3} to fractions with denominator 24.

$$\frac{27}{24}+\frac{64}{24}$$

Since \frac{27}{24} and \frac{64}{24} have the same denominator, add them by adding their numerators.

$$\frac{27+64}{24}$$

Add 27 and 64 to get 91.

$$\frac{91}{24}$$

Factor

$$\frac{7 \cdot 13}{2 ^ {3} \cdot 3} = 3\frac{19}{24} = 3.7916666666666665$$