Question

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

Answer 1

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 = $\frac{338}{99}$

Answer 2

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.

. . . x = 3.414141414141 ............ 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.