Solve 3/4*frac{4sqrt{6}}{6}

$$\frac { 3 } { 4 } \times \frac { 4 \sqrt { 6 } } { 6 }$$

Evaluate

$$\frac{\sqrt{6}}{2}\approx 1.224744871$$

Solution Steps

Divide 4\sqrt{6} by 6 to get \frac{2}{3}\sqrt{6}.

$$\frac{3}{4}\times \frac{2}{3}\sqrt{6}$$

Multiply \frac{3}{4} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 2}{4\times 3}\sqrt{6}$$

Cancel out 3 in both numerator and denominator.

$$\frac{2}{4}\sqrt{6}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}\sqrt{6}$$