Verified Answer :

3.039%, 3-3/16%, 3.4%, 3.499% , 3-1/2%

Answer:

3.039% < \(3\frac{3}{16}\)% < 3.4% < 3.499% < \(3\frac{1}{2}\)%

Step-by-step explanation:

We have to arrange the following interest rates in ascending order.

3.4%, 3.039%, \(3\frac{3}{16}\)%, 3.499%, \(3\frac{1}{2}\)%

First we have to convert these value in to fraction then into decimal value.

3.4% = \(\frac{3.4}{100}\) = 0.034

3.039% = \(\frac{3.039}{100}\) = 0.03039

\(3\frac{3}{16}\)% = \(\frac{51}{16}\)% = \(\frac{3.1875}{100}\) = 0.031875

3.499% = \(\frac{3.499}{100}\) = 0.03499

\(3\frac{1}{2}\)% = \(\frac{7}{2}\)% = \(\frac{3.5}{100}\) = 0.035

Now we will arrange these decimal numbers in to ascending order.

0.03039 < 0.031875 < 0.034 < 0.03499 < 0.035

Therefore the interest rates in ascending order would be

3.039% < \(3\frac{3}{16}\)% < 3.4% < 3.499% < \(3\frac{1}{2}\)%