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How do you convert 2.7812 (12 repeating) to a fraction?

Answer 1

The answer is #4589/1650#

Consider #x=2.781212...# #10^2x=278.1212...# #10^4x=27812.1212...# the difference will give us : #10^4x-10^2x=27812.1212...-278.1212...=27534# so : #9900x=27534# therefore : #x=27534/9900=4589/1650#

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Answer 2

Hazel Anglin

To convert 2.7812 with 12 repeating to a fraction, first, let x = 2.78121212... Then, 100x = 278.121212... Subtracting x from 100x gives: 99x = 278.12 x = 278.12 / 99 x = 27812 / 9900 x = 13906 / 4950 So, 2.7812 with 12 repeating can be converted to the fraction 13906 / 4950.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.