Solve 12/3div52/3

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

Evaluate

$$\frac{5}{17}\approx 0.294117647$$

Solution Steps

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

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

Cancel out 3 in both numerator and denominator.

$$\frac{2+3}{2+3\times 5}$$

Add 2 and 3 to get 5.

$$\frac{5}{2+3\times 5}$$

Multiply 3 and 5 to get 15.

$$\frac{5}{2+15}$$

Add 2 and 15 to get 17.

$$\frac{5}{17}$$

Factor

$$\frac{5}{17} = 0.29411764705882354$$