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OverLord2011 [107]
3 years ago
11

Plz help me ;-; what is 3.41 repeating as a fraction

Mathematics
2 answers:
shtirl [24]3 years ago
6 0

Answer:

\frac{338}{99} is the answer.

Step-by-step explanation:

let x = 3.4141.....

multiplying both sides by 100 [ since it has two repeating decimals],we get

100x  341.4141...

subtracting from the first ,we get

99x = 338

so x = \frac{338}{99}

Sholpan [36]3 years ago
4 0

Remark

I'm going to assume that it is just the 0.41 that is doing the repeating. If it is not leave me a note.

Solution

The trick is to call x = 3.4141414141 ....

then multiply by 100

100 x = 341.4141414141 ............ Now write the original decimal underneath.

<u>. . . x = 3.414141414141 ......</u>...... Subtract

99 x = 338 That's all that's left. The decimal part cancels out.

x = 338 / 99 Fractional answer.

x = 3 39/99

x = 3 13/33 If this isn't one of your answers, leave me a note.

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