Solve 2/9div15/6=

$$\frac { 2 } { 9 } \div 1 \frac { 5 } { 6 } =$$

Evaluate

$$\frac{4}{33}\approx 0.121212121$$

Solution Steps

Divide \frac{2}{9} by \frac{1\times 6+5}{6} by multiplying \frac{2}{9} by the reciprocal of \frac{1\times 6+5}{6}.

$$\frac{2\times 6}{9\left(1\times 6+5\right)}$$

Cancel out 3 in both numerator and denominator.

$$\frac{2\times 2}{3\left(5+6\right)}$$

Multiply 2 and 2 to get 4.

$$\frac{4}{3\left(5+6\right)}$$

Add 5 and 6 to get 11.

$$\frac{4}{3\times 11}$$

Multiply 3 and 11 to get 33.

$$\frac{4}{33}$$

Factor

$$\frac{2 ^ {2}}{3 \cdot 11} = 0.12121212121212122$$