Solve 1.6*1/2sqrt{2}

$$1.6 \times \frac{ 1 }{ 2 } \sqrt{ 2 }$$

Evaluate

$$\frac{4\sqrt{2}}{5}\approx 1.13137085$$

Solution Steps

Convert decimal number 1.6 to fraction \frac{16}{10}. Reduce the fraction \frac{16}{10} to lowest terms by extracting and canceling out 2.

$$\frac{8}{5}\times \frac{1}{2}\sqrt{2}$$

Multiply \frac{8}{5} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 1}{5\times 2}\sqrt{2}$$

Do the multiplications in the fraction \frac{8\times 1}{5\times 2}.

$$\frac{8}{10}\sqrt{2}$$

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

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