Question

Ok, i need to determine if it can be written as a fraction. Then state the reason.

Answer 1

a) YES. Repeating decimal

b) YES. Repeating decimal

c) NO. Decimal neither terminates nor repeats

d) YES. Terminating decimal

Explanation:

Any rational number can be written as a fraction, that is, a division of integers.

a) The number
`\overline{0.54}` has a repetitive period of 54. It can be expressed as a fraction because its decimal are repeating forever

b) The number 0.16666... (expressed as a repeating 6) can also be converted to a fraction because it's a repeating decimal

c) The number 0.5473... cannot be expressed as a fraction because the ellipsis (...) means the decimals continue with no limit and no pattern can be found (no repetitive decimal)

d) The number 0.378 can be easily expressed as a fraction because it has a finite number of decimals (no ellipsis) or a terminating decimal