Convert 14.2 and 3.14 into bases 5,7, and 8?

Answer 1

Base 5:
5^2 = 25
5^1 = 5
5^0 = 1
5^-1 = 1/5 = 0.2

14.2 = 2x5 + 4x1 + 1x0.2 --> 2 4 .1

Therefore
14.2 = 24.1 in base 5

For base 7:
7^2 = 49
7^1 = 7
7^0 = 1
7^-1 = 1/7
7^-2 = 1/49

14.2 = 2x7 + 0x1 + 1x(1/7) + ~3x1/49 --> 2 0 . 1 3

Therefore
14.2 is approximately 20.13 in base 7

Base 8:
8^2 = 64
8^1 = 8
8^0 = 1
8^-1 = 1/8
8^-2 = 1/64

14.2 = 1x8 + 6x1 + 1x(1/8) + ~5x(1/64) --> 1 6 . 1 5

Therefore
14.2 is approximately 16.15 in base 8

Now you can try 3.14 on your own