Solve 2*frac{3/4*frac{sqrt{7}}{4}}{6sqrt{7}}

$$\frac { 2 \times \frac { 3 } { 4 } \times \frac { \sqrt { 7 } } { 4 } } { 6 \sqrt { 7 } }$$

Evaluate

$$\frac{1}{16}=0.0625$$

Solution Steps

Express 2\times \frac{3}{4} as a single fraction.

$$\frac{\frac{2\times 3}{4}\times \frac{\sqrt{7}}{4}}{6\sqrt{7}}$$

Multiply 2 and 3 to get 6.

$$\frac{\frac{6}{4}\times \frac{\sqrt{7}}{4}}{6\sqrt{7}}$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{3}{2}\times \frac{\sqrt{7}}{4}}{6\sqrt{7}}$$

Multiply \frac{3}{2} times \frac{\sqrt{7}}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{3\sqrt{7}}{2\times 4}}{6\sqrt{7}}$$

Express \frac{\frac{3\sqrt{7}}{2\times 4}}{6\sqrt{7}} as a single fraction.

$$\frac{3\sqrt{7}}{2\times 4\times 6\sqrt{7}}$$

Cancel out 3\sqrt{7} in both numerator and denominator.

$$\frac{1}{2\times 2\times 4}$$

Multiply 2 and 2 to get 4.

$$\frac{1}{4\times 4}$$

Multiply 4 and 4 to get 16.

$$\frac{1}{16}$$

Factor

$$\frac{1}{2 ^ {4}} = 0.0625$$