Solve 0.2222div1.4142*3/4

$$0.2222 \div 1.4142 \times \frac{ 3 }{ 4 }$$

Evaluate

$$\frac{1111}{9428}\approx 0.117840475$$

Solution Steps

Expand \frac{0.2222}{1.4142} by multiplying both numerator and the denominator by 10000.

$$\frac{2222}{14142}\times \frac{3}{4}$$

Reduce the fraction \frac{2222}{14142} to lowest terms by extracting and canceling out 2.

$$\frac{1111}{7071}\times \frac{3}{4}$$

Multiply \frac{1111}{7071} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1111\times 3}{7071\times 4}$$

Do the multiplications in the fraction \frac{1111\times 3}{7071\times 4}.

$$\frac{3333}{28284}$$

Reduce the fraction \frac{3333}{28284} to lowest terms by extracting and canceling out 3.

$$\frac{1111}{9428}$$

Factor

$$\frac{11 \cdot 101}{2357 \cdot 2 ^ {2}} = 0.11784047518031396$$