Solve frac{8sqrt{34}}{25}div(sqrt{34}-frac{8sqrt{34}}{25})

$$\frac{ 8 \sqrt{ 34 } }{ 25 } \div ( \sqrt{ 34 } - \frac{ 8 \sqrt{ 34 } }{ 25 } )$$

Evaluate

$$\frac{8}{17}\approx 0.470588235$$

Solution Steps

Combine \sqrt{34} and -\frac{8\sqrt{34}}{25} to get \frac{17}{25}\sqrt{34}.

$$\frac{\frac{8\sqrt{34}}{25}}{\frac{17}{25}\sqrt{34}}$$

Express \frac{\frac{8\sqrt{34}}{25}}{\frac{17}{25}\sqrt{34}} as a single fraction.

$$\frac{8\sqrt{34}}{25\times \frac{17}{25}\sqrt{34}}$$

Cancel out \sqrt{34} in both numerator and denominator.

$$\frac{8}{\frac{17}{25}\times 25}$$

Cancel out 25 and 25.

$$\frac{8}{17}$$

Factor

$$\frac{2 ^ {3}}{17} = 0.47058823529411764$$