Solve 54/3+23/8=

$$5 \frac { 4 } { 3 } + 2 \frac { 3 } { 8 } =$$

Evaluate

$$\frac{209}{24}\approx 8.708333333$$

Solution Steps

Multiply 5 and 3 to get 15.

$$\frac{15+4}{3}+\frac{2\times 8+3}{8}$$

Add 15 and 4 to get 19.

$$\frac{19}{3}+\frac{2\times 8+3}{8}$$

Multiply 2 and 8 to get 16.

$$\frac{19}{3}+\frac{16+3}{8}$$

Add 16 and 3 to get 19.

$$\frac{19}{3}+\frac{19}{8}$$

Least common multiple of 3 and 8 is 24. Convert \frac{19}{3} and \frac{19}{8} to fractions with denominator 24.

$$\frac{152}{24}+\frac{57}{24}$$

Since \frac{152}{24} and \frac{57}{24} have the same denominator, add them by adding their numerators.

$$\frac{152+57}{24}$$

Add 152 and 57 to get 209.

$$\frac{209}{24}$$

Factor

$$\frac{11 \cdot 19}{2 ^ {3} \cdot 3} = 8\frac{17}{24} = 8.708333333333334$$