Solve (1/27-1/36)div1/9

$$( \frac { 1 } { 27 } - \frac { 1 } { 36 } ) \div \frac { 1 } { 9 }$$

Evaluate

$$\frac{1}{12}\approx 0.083333333$$

Solution Steps

Least common multiple of 27 and 36 is 108. Convert \frac{1}{27} and \frac{1}{36} to fractions with denominator 108.

$$\frac{\frac{4}{108}-\frac{3}{108}}{\frac{1}{9}}$$

Since \frac{4}{108} and \frac{3}{108} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{4-3}{108}}{\frac{1}{9}}$$

Subtract 3 from 4 to get 1.

$$\frac{\frac{1}{108}}{\frac{1}{9}}$$

Divide \frac{1}{108} by \frac{1}{9} by multiplying \frac{1}{108} by the reciprocal of \frac{1}{9}.

$$\frac{1}{108}\times 9$$

Multiply \frac{1}{108} and 9 to get \frac{9}{108}.

$$\frac{9}{108}$$

Reduce the fraction \frac{9}{108} to lowest terms by extracting and canceling out 9.

$$\frac{1}{12}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3} = 0.08333333333333333$$