Solve 235/16-147/12

$$23 \frac { 5 } { 16 } - 14 \frac { 7 } { 12 }$$

Evaluate

$$\frac{419}{48}\approx 8.729166667$$

Solution Steps

Multiply 23 and 16 to get 368.

$$\frac{368+5}{16}-\frac{14\times 12+7}{12}$$

Add 368 and 5 to get 373.

$$\frac{373}{16}-\frac{14\times 12+7}{12}$$

Multiply 14 and 12 to get 168.

$$\frac{373}{16}-\frac{168+7}{12}$$

Add 168 and 7 to get 175.

$$\frac{373}{16}-\frac{175}{12}$$

Least common multiple of 16 and 12 is 48. Convert \frac{373}{16} and \frac{175}{12} to fractions with denominator 48.

$$\frac{1119}{48}-\frac{700}{48}$$

Since \frac{1119}{48} and \frac{700}{48} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1119-700}{48}$$

Subtract 700 from 1119 to get 419.

$$\frac{419}{48}$$

Factor

$$\frac{419}{2 ^ {4} \cdot 3} = 8\frac{35}{48} = 8.729166666666666$$