Solve 5/18div12/3

$$\frac { 5 } { 18 } \div 1 \frac { 2 } { 3 }$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Divide \frac{5}{18} by \frac{1\times 3+2}{3} by multiplying \frac{5}{18} by the reciprocal of \frac{1\times 3+2}{3}.

$$\frac{5\times 3}{18\left(1\times 3+2\right)}$$

Cancel out 3 in both numerator and denominator.

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

Add 2 and 3 to get 5.

$$\frac{5}{6\times 5}$$

Multiply 6 and 5 to get 30.

$$\frac{5}{30}$$

Reduce the fraction \frac{5}{30} to lowest terms by extracting and canceling out 5.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$