Solve 1/2*1/3-1/21

$$\frac { 1 } { 2 } \times \frac { 1 } { 3 } - \frac { 1 } { 21 }$$

Evaluate

$$\frac{5}{42}\approx 0.119047619$$

Solution Steps

Multiply \frac{1}{2} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{2\times 3}-\frac{1}{21}$$

Do the multiplications in the fraction \frac{1\times 1}{2\times 3}.

$$\frac{1}{6}-\frac{1}{21}$$

Least common multiple of 6 and 21 is 42. Convert \frac{1}{6} and \frac{1}{21} to fractions with denominator 42.

$$\frac{7}{42}-\frac{2}{42}$$

Since \frac{7}{42} and \frac{2}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-2}{42}$$

Subtract 2 from 7 to get 5.

$$\frac{5}{42}$$

Factor

$$\frac{5}{2 \cdot 3 \cdot 7} = 0.11904761904761904$$