Solve 5/12:7/6-5*(1/5-(4/10)^2)

$$\frac { 5 } { 12 } : \frac { 7 } { 6 } - 5 \cdot ( \frac { 1 } { 5 } - ( \frac { 4 } { 10 } ) ^ { 2 } )$$

Evaluate

$$\frac{11}{70}\approx 0.157142857$$

Solution Steps

Divide \frac{5}{12} by \frac{7}{6} by multiplying \frac{5}{12} by the reciprocal of \frac{7}{6}.

$$\frac{5}{12}\times \frac{6}{7}-5\left(\frac{1}{5}-\left(\frac{4}{10}\right)^{2}\right)$$

Multiply \frac{5}{12} and \frac{6}{7} to get \frac{5}{14}.

$$\frac{5}{14}-5\left(\frac{1}{5}-\left(\frac{4}{10}\right)^{2}\right)$$

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

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

Calculate \frac{2}{5} to the power of 2 and get \frac{4}{25}.

$$\frac{5}{14}-5\left(\frac{1}{5}-\frac{4}{25}\right)$$

Subtract \frac{4}{25} from \frac{1}{5} to get \frac{1}{25}.

$$\frac{5}{14}-5\times \frac{1}{25}$$

Multiply 5 and \frac{1}{25} to get \frac{1}{5}.

$$\frac{5}{14}-\frac{1}{5}$$

Subtract \frac{1}{5} from \frac{5}{14} to get \frac{11}{70}.

$$\frac{11}{70}$$

Factor

$$\frac{11}{2 \cdot 5 \cdot 7} = 0.15714285714285714$$