Solve frac{4/3-frac{12{4*6}}}{5}

$$\frac{ \frac{ 4 }{ 3- \frac{ 12 }{ 4 \cdot 6 } } }{ 5 }$$

Evaluate

$$\frac{8}{25}=0.32$$

Solution Steps

Express \frac{\frac{4}{3-\frac{12}{4\times 6}}}{5} as a single fraction.

$$\frac{4}{\left(3-\frac{12}{4\times 6}\right)\times 5}$$

Multiply 4 and 6 to get 24.

$$\frac{4}{\left(3-\frac{12}{24}\right)\times 5}$$

Reduce the fraction \frac{12}{24} to lowest terms by extracting and canceling out 12.

$$\frac{4}{\left(3-\frac{1}{2}\right)\times 5}$$

Convert 3 to fraction \frac{6}{2}.

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

Since \frac{6}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4}{\frac{6-1}{2}\times 5}$$

Subtract 1 from 6 to get 5.

$$\frac{4}{\frac{5}{2}\times 5}$$

Express \frac{5}{2}\times 5 as a single fraction.

$$\frac{4}{\frac{5\times 5}{2}}$$

Multiply 5 and 5 to get 25.

$$\frac{4}{\frac{25}{2}}$$

Divide 4 by \frac{25}{2} by multiplying 4 by the reciprocal of \frac{25}{2}.

$$4\times \frac{2}{25}$$

Express 4\times \frac{2}{25} as a single fraction.

$$\frac{4\times 2}{25}$$

Multiply 4 and 2 to get 8.

$$\frac{8}{25}$$

Factor

$$\frac{2 ^ {3}}{5 ^ {2}} = 0.32$$