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(a) $\frac{15}{3}$ (b) $-109$ (c) $0$

(d) $0.56842202002000200002...$ (e) $2.20000$ (f) $61$

(g) $\sqrt{23}$ (h) $0.10001000100010001000...$ (i) $\sqrt{64}$

(j) $\frac{6}{16}$

From the list above, determine the corresponding letters of the numbers that are

(a) irrational:

(b) real:

(c) natural:

or write none if no such numbers exist. Separate multiple answers by commas.

You can earn partial credit on this problem.