Solve 67/12-45/9

$$6 \frac { 7 } { 12 } - 4 \frac { 5 } { 9 }$$

Evaluate

$$\frac{73}{36}\approx 2.027777778$$

Solution Steps

Multiply 6 and 12 to get 72.

$$\frac{72+7}{12}-\frac{4\times 9+5}{9}$$

Add 72 and 7 to get 79.

$$\frac{79}{12}-\frac{4\times 9+5}{9}$$

Multiply 4 and 9 to get 36.

$$\frac{79}{12}-\frac{36+5}{9}$$

Add 36 and 5 to get 41.

$$\frac{79}{12}-\frac{41}{9}$$

Least common multiple of 12 and 9 is 36. Convert \frac{79}{12} and \frac{41}{9} to fractions with denominator 36.

$$\frac{237}{36}-\frac{164}{36}$$

Since \frac{237}{36} and \frac{164}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{237-164}{36}$$

Subtract 164 from 237 to get 73.

$$\frac{73}{36}$$

Factor

$$\frac{73}{2 ^ {2} \cdot 3 ^ {2}} = 2\frac{1}{36} = 2.0277777777777777$$