Solve 15/4-5/14

$$\frac { 15 } { 4 } - \frac { 5 } { 14 }$$

Evaluate

$$\frac{95}{28}\approx 3.392857143$$

Solution Steps

Least common multiple of 4 and 14 is 28. Convert \frac{15}{4} and \frac{5}{14} to fractions with denominator 28.

$$\frac{105}{28}-\frac{10}{28}$$

Since \frac{105}{28} and \frac{10}{28} have the same denominator, subtract them by subtracting their numerators.

$$\frac{105-10}{28}$$

Subtract 10 from 105 to get 95.

$$\frac{95}{28}$$

Factor

$$\frac{5 \cdot 19}{2 ^ {2} \cdot 7} = 3\frac{11}{28} = 3.392857142857143$$