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

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TikTokStar8888 TikTokStar8888

26-11-2019
Mathematics

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

$ok i need to determine if it can be written as a fraction Then state the reason class=$

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elcharly64 elcharly64 · Answer 1 · 2019-12-01T17:05:14+01:00

Answer:

a) YES. Repeating decimal

b) YES. Repeating decimal

c) NO. Decimal neither terminates nor repeats

d) YES. Terminating decimal

Step-by-step explanation:

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

a) The number [tex]\overline{0.54}[/tex] 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