Solve 1.2div0.86frac{sqrt{2}}{2}

$$1.2 \div 0.86 \frac{ \sqrt{ 2 } }{ 2 }$$

Evaluate

$$\frac{30\sqrt{2}}{43}\approx 0.986660625$$

Solution Steps

Expand \frac{1.2}{0.86} by multiplying both numerator and the denominator by 100.

$$\frac{120}{86}\times \frac{\sqrt{2}}{2}$$

Reduce the fraction \frac{120}{86} to lowest terms by extracting and canceling out 2.

$$\frac{60}{43}\times \frac{\sqrt{2}}{2}$$

Multiply \frac{60}{43} times \frac{\sqrt{2}}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{60\sqrt{2}}{43\times 2}$$

Cancel out 2 in both numerator and denominator.

$$\frac{30\sqrt{2}}{43}$$