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marusya05 [52]
1 year ago
8

0.27 recurring as a fraction please

Mathematics
2 answers:
Ilia_Sergeevich [38]1 year ago
8 0

Answer:

Jimrgrant1 has already answered this correctly, 3/11.

Step-by-step explanation:

I took 1.0 and divided it by 0.272727 to give 3.666666 . . .

I looked for value that would convert this into a whole number when multiplied.  3 times 3.666666 . . . is equal to 11.  

That would mean a fraction equal to 0.272727 . . . would be 3/11

natali 33 [55]1 year ago
3 0

Answer:

\frac{3}{11}

Step-by-step explanation:

assuming the recurring digits are 0.272727.... , then

we require 2 equations with the repeating digits placed after the decimal point.

let x = 0.2727.... (1) ← multiply both sides by 100

100x = 27.2727... (2)

subtract (1) from (2) thus eliminating the repeating digits

99x = 27 ( divide both sides by 99 )

x = \frac{27}{99} = \frac{3}{11} ← in simplest form

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