Solve 1/61/3-1/4

$$\frac { 1 } { 6 } \frac { 1 } { 3 } - \frac { 1 } { 4 }$$

Evaluate

$$-\frac{7}{36}\approx -0.194444444$$

Solution Steps

Multiply \frac{1}{6} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{6\times 3}-\frac{1}{4}$$

Do the multiplications in the fraction \frac{1\times 1}{6\times 3}.

$$\frac{1}{18}-\frac{1}{4}$$

Least common multiple of 18 and 4 is 36. Convert \frac{1}{18} and \frac{1}{4} to fractions with denominator 36.

$$\frac{2}{36}-\frac{9}{36}$$

Since \frac{2}{36} and \frac{9}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-9}{36}$$

Subtract 9 from 2 to get -7.

$$-\frac{7}{36}$$

Factor

$$-\frac{7}{36} = -0.19444444444444445$$