Convert 0.14¯¯¯¯¯ to a fraction.

Question

is 14/99 explain in a very very simple sentence

Answer 1

To convert \(0.14\overline{14}\) to a fraction, we can denote it as \(x = 0.141414...\). Then, we multiply by 100 to shift the decimal point:

\(100x = 14.141414...\)

Next, subtract the original \(x\) from this equation:

\(100x - x = 14.141414... - 0.141414...\)

This simplifies to:

\(99x = 14\)

Now, divide both sides by 99:

\(x = \frac{14}{99}\)

So, \(0.14\overline{14} = \frac{14}{99}\).