Solve 2/3div11/3*0.5

$$\frac{ 2 }{ 3 } \div 1 \frac { 1 } { 3 } \times 0.5$$

Evaluate

$$0.25$$

Solution Steps

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

$$\frac{2\times 3}{3\left(1\times 3+1\right)}\times 0.5$$

Cancel out 3 in both numerator and denominator.

$$\frac{2}{1+3}\times 0.5$$

Add 1 and 3 to get 4.

$$\frac{2}{4}\times 0.5$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

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

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

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

Multiply \frac{1}{2} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 1}{2\times 2}.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$