Solve 1/27/9/frac{2{3}}

$$\frac{ \frac{ 1 }{ 2 } \frac{ 7 }{ 9 } }{ \frac{ 2 }{ 3 } }$$

Evaluate

$$\frac{7}{12}\approx 0.583333333$$

Solution Steps

Multiply \frac{1}{2} times \frac{7}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\times 7}{2\times 9}}{\frac{2}{3}}$$

Do the multiplications in the fraction \frac{1\times 7}{2\times 9}.

$$\frac{\frac{7}{18}}{\frac{2}{3}}$$

Divide \frac{7}{18} by \frac{2}{3} by multiplying \frac{7}{18} by the reciprocal of \frac{2}{3}.

$$\frac{7}{18}\times \frac{3}{2}$$

Multiply \frac{7}{18} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 3}{18\times 2}$$

Do the multiplications in the fraction \frac{7\times 3}{18\times 2}.

$$\frac{21}{36}$$

Reduce the fraction \frac{21}{36} to lowest terms by extracting and canceling out 3.

$$\frac{7}{12}$$

Factor

$$\frac{7}{2 ^ {2} \cdot 3} = 0.5833333333333334$$