Solve 67/12-317/36

$$6 \frac{ 7 }{ 12 } -3 \frac{ 17 }{ 36 }$$

Evaluate

$$\frac{28}{9}\approx 3.111111111$$

Solution Steps

Multiply 6 and 12 to get 72.

$$\frac{72+7}{12}-\frac{3\times 36+17}{36}$$

Add 72 and 7 to get 79.

$$\frac{79}{12}-\frac{3\times 36+17}{36}$$

Multiply 3 and 36 to get 108.

$$\frac{79}{12}-\frac{108+17}{36}$$

Add 108 and 17 to get 125.

$$\frac{79}{12}-\frac{125}{36}$$

Least common multiple of 12 and 36 is 36. Convert \frac{79}{12} and \frac{125}{36} to fractions with denominator 36.

$$\frac{237}{36}-\frac{125}{36}$$

Since \frac{237}{36} and \frac{125}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{237-125}{36}$$

Subtract 125 from 237 to get 112.

$$\frac{112}{36}$$

Reduce the fraction \frac{112}{36} to lowest terms by extracting and canceling out 4.

$$\frac{28}{9}$$

Factor

$$\frac{2 ^ {2} \cdot 7}{3 ^ {2}} = 3\frac{1}{9} = 3.111111111111111$$