Solve 2/9div6/11

$$\frac { 2 } { 9 } \div \frac { 6 } { 11 }$$

Evaluate

$$\frac{11}{27}\approx 0.407407407$$

Solution Steps

Divide \frac{2}{9} by \frac{6}{11} by multiplying \frac{2}{9} by the reciprocal of \frac{6}{11}.

$$\frac{2}{9}\times \frac{11}{6}$$

Multiply \frac{2}{9} times \frac{11}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 11}{9\times 6}$$

Do the multiplications in the fraction \frac{2\times 11}{9\times 6}.

$$\frac{22}{54}$$

Reduce the fraction \frac{22}{54} to lowest terms by extracting and canceling out 2.

$$\frac{11}{27}$$

Factor

$$\frac{11}{3 ^ {3}} = 0.4074074074074074$$