Solve 61/8-15/6

$$6 \frac{ 1 }{ 8 } -1 \frac{ 5 }{ 6 }$$

Evaluate

$$\frac{103}{24}\approx 4.291666667$$

Solution Steps

Multiply 6 and 8 to get 48.

$$\frac{48+1}{8}-\frac{1\times 6+5}{6}$$

Add 48 and 1 to get 49.

$$\frac{49}{8}-\frac{1\times 6+5}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{49}{8}-\frac{6+5}{6}$$

Add 6 and 5 to get 11.

$$\frac{49}{8}-\frac{11}{6}$$

Least common multiple of 8 and 6 is 24. Convert \frac{49}{8} and \frac{11}{6} to fractions with denominator 24.

$$\frac{147}{24}-\frac{44}{24}$$

Since \frac{147}{24} and \frac{44}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{147-44}{24}$$

Subtract 44 from 147 to get 103.

$$\frac{103}{24}$$

Factor

$$\frac{103}{2 ^ {3} \cdot 3} = 4\frac{7}{24} = 4.291666666666667$$