Solve 43/42-5/12

$$\frac { 43 } { 42 } - \frac { 5 } { 12 }$$

Evaluate

$$\frac{17}{28}\approx 0.607142857$$

Solution Steps

Least common multiple of 42 and 12 is 84. Convert \frac{43}{42} and \frac{5}{12} to fractions with denominator 84.

$$\frac{86}{84}-\frac{35}{84}$$

Since \frac{86}{84} and \frac{35}{84} have the same denominator, subtract them by subtracting their numerators.

$$\frac{86-35}{84}$$

Subtract 35 from 86 to get 51.

$$\frac{51}{84}$$

Reduce the fraction \frac{51}{84} to lowest terms by extracting and canceling out 3.

$$\frac{17}{28}$$

Factor

$$\frac{17}{2 ^ {2} \cdot 7} = 0.6071428571428571$$