Converting 0.228645 to a Fraction
Step-by-step explanation of how to convert 0.228645 to a fraction

Result

0.228645 =
45729
200000

Step 1: Identify the number of decimal places

The decimal 0.228645 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.228645 × 1000000 = 228645

Step 3: Write as a fraction

0.228645 =

228645
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 228645 and 1000000.

GCD(228645, 1000000) = 5

Divide both the numerator and denominator by the GCD:

228645
1000000

=

228645 ÷ 5
1000000 ÷ 5

=

45729
200000
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