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2 votes
How do you write 3.02 repeating as a fraction

a) 302/99
b) 151/50
c) 302/100
d) None of the above

User Gdoubleod
by
7.9k points

1 Answer

4 votes

Final answer:

3.02 repeating is equal to 299/99, which can also be simplified to 3 2/33. Therefore, the correct answer is 'none of the above'.

Step-by-step explanation:

To write 3.02 repeating as a fraction, we need to use algebraic methods. Let's denote the repeating decimal as x:

x = 3.02020202...

Now, multiply x by 100 to shift the decimal two places to the right:

100x = 302.02020202...

Subtracting the original equation from this new equation gives us:

100x - x = 302.02020202... - 3.02020202...

Which simplifies to:

99x = 299

Now, divide both sides by 99 to solve for x:

x = 299 / 99

Therefore, 3.02 repeating is equal to 299/99, which simplifies to 3 2/33. This reveals that the answer is none of the above since none of the given choices match our fraction.

User Mela
by
7.7k points
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