Solve 14/21{left(2/5-frac{1{3}}right)}^2

$$\frac{ 14 }{ 21 } { \left( \frac{ 2 }{ 5- \frac{ 1 }{ 3 } } \right) }^{ 2 }$$

Evaluate

$$\frac{6}{49}\approx 0.12244898$$

Solution Steps

Reduce the fraction \frac{14}{21} to lowest terms by extracting and canceling out 7.

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

Subtract \frac{1}{3} from 5 to get \frac{14}{3}.

$$\frac{2}{3}\times \left(\frac{2}{\frac{14}{3}}\right)^{2}$$

Divide 2 by \frac{14}{3} by multiplying 2 by the reciprocal of \frac{14}{3}.

$$\frac{2}{3}\times \left(2\times \frac{3}{14}\right)^{2}$$

Multiply 2 and \frac{3}{14} to get \frac{3}{7}.

$$\frac{2}{3}\times \left(\frac{3}{7}\right)^{2}$$

Calculate \frac{3}{7} to the power of 2 and get \frac{9}{49}.

$$\frac{2}{3}\times \frac{9}{49}$$

Multiply \frac{2}{3} and \frac{9}{49} to get \frac{6}{49}.

$$\frac{6}{49}$$

Factor

$$\frac{2 \cdot 3}{7 ^ {2}} = 0.12244897959183673$$