1/frac{1{9}-1/12}-এর সমাধান করুন

$$\frac{ 1 }{ \frac{ 1 }{ 9 } - \frac{ 1 }{ 12 } }$$

Evaluate

$$36$$

Solution Steps

Least common multiple of 9 and 12 is 36. Convert \frac{1}{9} and \frac{1}{12} to fractions with denominator 36.

$$\frac{1}{\frac{4}{36}-\frac{3}{36}}$$

Since \frac{4}{36} and \frac{3}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{\frac{4-3}{36}}$$

Subtract 3 from 4 to get 1.

$$\frac{1}{\frac{1}{36}}$$

Divide 1 by \frac{1}{36} by multiplying 1 by the reciprocal of \frac{1}{36}.

$$1\times 36$$

Multiply 1 and 36 to get 36.

$$36$$

Factor

$$2^{2}\times 3^{2}$$