Solve 12/3div31/3

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

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

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

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

Cancel out 3 in both numerator and denominator.

$$\frac{2+3}{1+3\times 3}$$

Add 2 and 3 to get 5.

$$\frac{5}{1+3\times 3}$$

Multiply 3 and 3 to get 9.

$$\frac{5}{1+9}$$

Add 1 and 9 to get 10.

$$\frac{5}{10}$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$