Solve 25/6-17/16

$$2 \frac { 5 } { 6 } - 1 \frac { 7 } { 16 }$$

Evaluate

$$\frac{67}{48}\approx 1.395833333$$

Solution Steps

Multiply 2 and 6 to get 12.

$$\frac{12+5}{6}-\frac{1\times 16+7}{16}$$

Add 12 and 5 to get 17.

$$\frac{17}{6}-\frac{1\times 16+7}{16}$$

Multiply 1 and 16 to get 16.

$$\frac{17}{6}-\frac{16+7}{16}$$

Add 16 and 7 to get 23.

$$\frac{17}{6}-\frac{23}{16}$$

Least common multiple of 6 and 16 is 48. Convert \frac{17}{6} and \frac{23}{16} to fractions with denominator 48.

$$\frac{136}{48}-\frac{69}{48}$$

Since \frac{136}{48} and \frac{69}{48} have the same denominator, subtract them by subtracting their numerators.

$$\frac{136-69}{48}$$

Subtract 69 from 136 to get 67.

$$\frac{67}{48}$$

Factor

$$\frac{67}{2 ^ {4} \cdot 3} = 1\frac{19}{48} = 1.3958333333333333$$