Solve 447/8-265/12

$$44 \frac { 7 } { 8 } - 26 \frac { 5 } { 12 }$$

Evaluate

$$\frac{443}{24}\approx 18.458333333$$

Solution Steps

Multiply 44 and 8 to get 352.

$$\frac{352+7}{8}-\frac{26\times 12+5}{12}$$

Add 352 and 7 to get 359.

$$\frac{359}{8}-\frac{26\times 12+5}{12}$$

Multiply 26 and 12 to get 312.

$$\frac{359}{8}-\frac{312+5}{12}$$

Add 312 and 5 to get 317.

$$\frac{359}{8}-\frac{317}{12}$$

Least common multiple of 8 and 12 is 24. Convert \frac{359}{8} and \frac{317}{12} to fractions with denominator 24.

$$\frac{1077}{24}-\frac{634}{24}$$

Since \frac{1077}{24} and \frac{634}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1077-634}{24}$$

Subtract 634 from 1077 to get 443.

$$\frac{443}{24}$$

Factor

$$\frac{443}{2 ^ {3} \cdot 3} = 18\frac{11}{24} = 18.458333333333332$$