Solve (5/4-7/6)/2/9

$$( \frac { 5 } { 4 } - \frac { 7 } { 6 } ) / \frac { 2 } { 9 }$$

Evaluate

$$\frac{3}{8}=0.375$$

Solution Steps

Least common multiple of 4 and 6 is 12. Convert \frac{5}{4} and \frac{7}{6} to fractions with denominator 12.

$$\frac{\frac{15}{12}-\frac{14}{12}}{\frac{2}{9}}$$

Since \frac{15}{12} and \frac{14}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{15-14}{12}}{\frac{2}{9}}$$

Subtract 14 from 15 to get 1.

$$\frac{\frac{1}{12}}{\frac{2}{9}}$$

Divide \frac{1}{12} by \frac{2}{9} by multiplying \frac{1}{12} by the reciprocal of \frac{2}{9}.

$$\frac{1}{12}\times \frac{9}{2}$$

Multiply \frac{1}{12} times \frac{9}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 9}{12\times 2}$$

Do the multiplications in the fraction \frac{1\times 9}{12\times 2}.

$$\frac{9}{24}$$

Reduce the fraction \frac{9}{24} to lowest terms by extracting and canceling out 3.

$$\frac{3}{8}$$

Factor

$$\frac{3}{2 ^ {3}} = 0.375$$