Solve 63/8+52/3

$$6 \frac { 3 } { 8 } + 5 \frac { 2 } { 3 }$$

Evaluate

$$\frac{289}{24}\approx 12.041666667$$

Solution Steps

Multiply 6 and 8 to get 48.

$$\frac{48+3}{8}+\frac{5\times 3+2}{3}$$

Add 48 and 3 to get 51.

$$\frac{51}{8}+\frac{5\times 3+2}{3}$$

Multiply 5 and 3 to get 15.

$$\frac{51}{8}+\frac{15+2}{3}$$

Add 15 and 2 to get 17.

$$\frac{51}{8}+\frac{17}{3}$$

Least common multiple of 8 and 3 is 24. Convert \frac{51}{8} and \frac{17}{3} to fractions with denominator 24.

$$\frac{153}{24}+\frac{136}{24}$$

Since \frac{153}{24} and \frac{136}{24} have the same denominator, add them by adding their numerators.

$$\frac{153+136}{24}$$

Add 153 and 136 to get 289.

$$\frac{289}{24}$$

Factor

$$\frac{17 ^ {2}}{2 ^ {3} \cdot 3} = 12\frac{1}{24} = 12.041666666666666$$