5/11, 3/7, 4/9, 13/30, 17/39 if these fractions are arranged from least to greatest, which will be the third?

5/11, 3/7, 4/9, 13/30, 17/39 if these fractions are arranged from least to greatest, which will be the third  ?  

I.  decimal: $$\small{\text{ 1. $ \frac{ 3 }{ 7 } = 0.429 \quad $ 2. $ \frac{13}{30 } = 0.4\overline{3} \quad $ 3. $ \frac{17}{39} = 0.4359 \quad $ 4. $ \frac{4}{9 } = 0.\overline{4} \quad $ 5. $ \frac{ 5}{11} = 0.\overline{45} \quad $ }}$$

II. fraction:

$$\small{\text{ 1. $ \frac{ 3 }{ 7 } = \frac{38619}{90090} \quad $ 2. $ \frac{13}{30 } = \frac{39039}{90090} \quad $ 3. $ \frac{17}{39} = \frac{39270}{90090} \quad $ 4. $ \frac{4}{9 } = \frac{40040}{90090} \quad $ 5. $ \frac{ 5}{11} = \frac{40950}{90090} $ }}$$

Well there are different methods

They are all quite close in value and all less than a half.

It is probably easiest to change them into decimals using a calculator and then compare the decimal answers.

5/11, 3/7, 4/9, 13/30, 17/39

$$\frac{ 3 }{ 7 } < \frac{13}{30 } < \frac{17}{39} < \frac{4}{9 } < \frac{ 5}{11}$$

17/39 will be the third

Yes Heueka but how do you suggest anon derives this order?