Solve frac{3sqrt{34}}{34}:5/sqrt{34}

$$\frac { 3 \sqrt { 34 } } { 34 } : \frac { 5 } { \sqrt { 34 } }$$

Evaluate

$$\frac{3}{5}=0.6$$

Solution Steps

Divide \frac{3\sqrt{34}}{34} by \frac{5}{\sqrt{34}} by multiplying \frac{3\sqrt{34}}{34} by the reciprocal of \frac{5}{\sqrt{34}}.

$$\frac{3\sqrt{34}\sqrt{34}}{34\times 5}$$

Multiply \sqrt{34} and \sqrt{34} to get 34.

$$\frac{3\times 34}{34\times 5}$$

Multiply 3 and 34 to get 102.

$$\frac{102}{34\times 5}$$

Multiply 34 and 5 to get 170.

$$\frac{102}{170}$$

Reduce the fraction \frac{102}{170} to lowest terms by extracting and canceling out 34.

$$\frac{3}{5}$$

Factor

$$\frac{3}{5} = 0.6$$