Solve 51/6+43/8

$$5 \frac { 1 } { 6 } + 4 \frac { 3 } { 8 }$$

Evaluate

$$\frac{229}{24}\approx 9.541666667$$

Solution Steps

Multiply 5 and 6 to get 30.

$$\frac{30+1}{6}+\frac{4\times 8+3}{8}$$

Add 30 and 1 to get 31.

$$\frac{31}{6}+\frac{4\times 8+3}{8}$$

Multiply 4 and 8 to get 32.

$$\frac{31}{6}+\frac{32+3}{8}$$

Add 32 and 3 to get 35.

$$\frac{31}{6}+\frac{35}{8}$$

Least common multiple of 6 and 8 is 24. Convert \frac{31}{6} and \frac{35}{8} to fractions with denominator 24.

$$\frac{124}{24}+\frac{105}{24}$$

Since \frac{124}{24} and \frac{105}{24} have the same denominator, add them by adding their numerators.

$$\frac{124+105}{24}$$

Add 124 and 105 to get 229.

$$\frac{229}{24}$$

Factor

$$\frac{229}{2 ^ {3} \cdot 3} = 9\frac{13}{24} = 9.541666666666666$$