Solve 1div(5/6-3/4)div144

$$1 \div ( \frac { 5 } { 6 } - \frac { 3 } { 4 } ) \div 144$$

Evaluate

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

Solution Steps

Express \frac{\frac{1}{\frac{5}{6}-\frac{3}{4}}}{144} as a single fraction.

$$\frac{1}{\left(\frac{5}{6}-\frac{3}{4}\right)\times 144}$$

Least common multiple of 6 and 4 is 12. Convert \frac{5}{6} and \frac{3}{4} to fractions with denominator 12.

$$\frac{1}{\left(\frac{10}{12}-\frac{9}{12}\right)\times 144}$$

Since \frac{10}{12} and \frac{9}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{\frac{10-9}{12}\times 144}$$

Subtract 9 from 10 to get 1.

$$\frac{1}{\frac{1}{12}\times 144}$$

Multiply \frac{1}{12} and 144 to get \frac{144}{12}.

$$\frac{1}{\frac{144}{12}}$$

Divide 144 by 12 to get 12.

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

Factor

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