Solve frac{5/245sqrt{42}}{224}sqrt{42}

$$\frac{ \frac{ 5 }{ 245 } \sqrt{ 42 } }{ 224 } \sqrt{ 42 }$$

Evaluate

$$\frac{3}{784}\approx 0.003826531$$

Solution Steps

Reduce the fraction \frac{5}{245} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{1}{49}\sqrt{42}}{224}\sqrt{42}$$

Divide \frac{1}{49}\sqrt{42} by 224 to get \frac{1}{10976}\sqrt{42}.

$$\frac{1}{10976}\sqrt{42}\sqrt{42}$$

Multiply \sqrt{42} and \sqrt{42} to get 42.

$$\frac{1}{10976}\times 42$$

Multiply \frac{1}{10976} and 42 to get \frac{42}{10976}.

$$\frac{42}{10976}$$

Reduce the fraction \frac{42}{10976} to lowest terms by extracting and canceling out 14.

$$\frac{3}{784}$$

Factor

$$\frac{3}{2 ^ {4} \cdot 7 ^ {2}} = 0.003826530612244898$$