Solve 11/27/frac{4{9}}

$$\frac { \frac { 11 } { 27 } } { \frac { 4 } { 9 } }$$

Evaluate

$$\frac{11}{12}\approx 0.916666667$$

Solution Steps

Divide \frac{11}{27} by \frac{4}{9} by multiplying \frac{11}{27} by the reciprocal of \frac{4}{9}.

$$\frac{11}{27}\times \frac{9}{4}$$

Multiply \frac{11}{27} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 9}{27\times 4}$$

Do the multiplications in the fraction \frac{11\times 9}{27\times 4}.

$$\frac{99}{108}$$

Reduce the fraction \frac{99}{108} to lowest terms by extracting and canceling out 9.

$$\frac{11}{12}$$

Factor

$$\frac{11}{2 ^ {2} \cdot 3} = 0.9166666666666666$$