Solve 1/4*1/5div(1/2)^2

$$\frac { 1 } { 4 } \times \frac { 1 } { 5 } \div ( \frac { 1 } { 2 } ) ^ { 2 }$$

Evaluate

$$\frac{1}{5}=0.2$$

Solution Steps

Multiply \frac{1}{4} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 1}{4\times 5}.

$$\frac{\frac{1}{20}}{\left(\frac{1}{2}\right)^{2}}$$

Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$\frac{\frac{1}{20}}{\frac{1}{4}}$$

Divide \frac{1}{20} by \frac{1}{4} by multiplying \frac{1}{20} by the reciprocal of \frac{1}{4}.

$$\frac{1}{20}\times 4$$

Multiply \frac{1}{20} and 4 to get \frac{4}{20}.

$$\frac{4}{20}$$

Reduce the fraction \frac{4}{20} to lowest terms by extracting and canceling out 4.

$$\frac{1}{5}$$

Factor

$$\frac{1}{5} = 0.2$$