Solve 1/13-11/4

$$\frac{ 1 }{ 13 } - \frac{ 11 }{ 4 }$$

Evaluate

$$-\frac{139}{52}\approx -2.673076923$$

Solution Steps

Least common multiple of 13 and 4 is 52. Convert \frac{1}{13} and \frac{11}{4} to fractions with denominator 52.

$$\frac{4}{52}-\frac{143}{52}$$

Since \frac{4}{52} and \frac{143}{52} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-143}{52}$$

Subtract 143 from 4 to get -139.

$$-\frac{139}{52}$$

Factor

$$-\frac{139}{52} = -2\frac{35}{52} = -2.673076923076923$$