Solve 105/12-47/8

$$10 \frac { 5 } { 12 } - 4 \frac { 7 } { 8 }$$

Evaluate

$$\frac{133}{24}\approx 5.541666667$$

Solution Steps

Multiply 10 and 12 to get 120.

$$\frac{120+5}{12}-\frac{4\times 8+7}{8}$$

Add 120 and 5 to get 125.

$$\frac{125}{12}-\frac{4\times 8+7}{8}$$

Multiply 4 and 8 to get 32.

$$\frac{125}{12}-\frac{32+7}{8}$$

Add 32 and 7 to get 39.

$$\frac{125}{12}-\frac{39}{8}$$

Least common multiple of 12 and 8 is 24. Convert \frac{125}{12} and \frac{39}{8} to fractions with denominator 24.

$$\frac{250}{24}-\frac{117}{24}$$

Since \frac{250}{24} and \frac{117}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{250-117}{24}$$

Subtract 117 from 250 to get 133.

$$\frac{133}{24}$$

Factor

$$\frac{7 \cdot 19}{2 ^ {3} \cdot 3} = 5\frac{13}{24} = 5.541666666666667$$