Solve 1/3-49/36

$$\frac { 1 } { 3 } - \frac { 49 } { 36 }$$

Evaluate

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

Solution Steps

Least common multiple of 3 and 36 is 36. Convert \frac{1}{3} and \frac{49}{36} to fractions with denominator 36.

$$\frac{12}{36}-\frac{49}{36}$$

Since \frac{12}{36} and \frac{49}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-49}{36}$$

Subtract 49 from 12 to get -37.

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

Factor

$$-\frac{37}{36} = -1\frac{1}{36} = -1.0277777777777777$$