Solve 45/12-37/18

$$4 \frac { 5 } { 12 } - 3 \frac { 7 } { 18 }$$

Evaluate

$$\frac{37}{36}\approx 1.027777778$$

Solution Steps

Multiply 4 and 12 to get 48.

$$\frac{48+5}{12}-\frac{3\times 18+7}{18}$$

Add 48 and 5 to get 53.

$$\frac{53}{12}-\frac{3\times 18+7}{18}$$

Multiply 3 and 18 to get 54.

$$\frac{53}{12}-\frac{54+7}{18}$$

Add 54 and 7 to get 61.

$$\frac{53}{12}-\frac{61}{18}$$

Least common multiple of 12 and 18 is 36. Convert \frac{53}{12} and \frac{61}{18} to fractions with denominator 36.

$$\frac{159}{36}-\frac{122}{36}$$

Since \frac{159}{36} and \frac{122}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{159-122}{36}$$

Subtract 122 from 159 to get 37.

$$\frac{37}{36}$$

Factor

$$\frac{37}{2 ^ {2} \cdot 3 ^ {2}} = 1\frac{1}{36} = 1.0277777777777777$$