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The decimal 0.238095238 is a repeating decimal. To convert it into a fraction, notice that the repeating part is 238095.
Here’s how to convert it:
Let:
x=0.238095238095238…
Multiply both sides by 1,000,000 (since the repeating part is 6 digits long):
1,000,000x=238095.238095238095…
Now subtract the original equation 𝑥 = 0.238095238095… from this:
1,000,000x−x=238095.238095238095…−0.238095238095…
999,999x=238095
x=
999999
238095
By simplifying this fraction, divide both the numerator and denominator by their greatest common divisor (GCD), which is 21:
x=
999999÷21
238095÷21
=
47619
11338
So, the fraction form of 0.238095238... is:
47619/11338
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