To convert the recurring decimal 0.1484848 into a fraction, we can use a little trick. Let's call the repeating part of the decimal "x".
So, we have:
0.1484848 = 0.14 + x
To eliminate the decimal part, we multiply both sides by 100:
100(0.1484848) = 100(0.14 + x)
This simplifies to:
14.84848 = 14 + 100x
Now, let's isolate the repeating part "x":
100x = 14.84848 - 14
100x = 0.84848
To get rid of the decimal, we multiply both sides by 100:
100(100x) = 100(0.84848)
This simplifies to:
10000x = 84.848
Now, we can solve for "x":
x = 84.848 / 10000
Simplifying the fraction:
x = 0.0084848
So, the fraction equivalent of the recurring decimal 0.1484848 is approximately 0.0084848.
