Solve 0.4div21/2

$$0.4 \div 2 \frac{ 1 }{ 2 }$$

Evaluate

$$0.16$$

Solution Steps

Divide 0.4 by \frac{2\times 2+1}{2} by multiplying 0.4 by the reciprocal of \frac{2\times 2+1}{2}.

$$\frac{0.4\times 2}{2\times 2+1}$$

Multiply 0.4 and 2 to get 0.8.

$$\frac{0.8}{2\times 2+1}$$

Multiply 2 and 2 to get 4.

$$\frac{0.8}{4+1}$$

Add 4 and 1 to get 5.

$$\frac{0.8}{5}$$

Expand \frac{0.8}{5} by multiplying both numerator and the denominator by 10.

$$\frac{8}{50}$$

Reduce the fraction \frac{8}{50} to lowest terms by extracting and canceling out 2.

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

Factor

$$\frac{2 ^ {2}}{5 ^ {2}} = 0.16$$