Converting 55.228 to a Fraction
Step-by-step explanation of how to convert 55.228 to a fraction

Result

55.228 =
13807
250
Mixed number:
55
57
250

Step 1: Identify the number of decimal places

The decimal 55.228 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

55.228 × 1000 = 55228

Step 3: Write as a fraction

55.228 =

55228
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 55228 and 1000.

GCD(55228, 1000) = 4

Divide both the numerator and denominator by the GCD:

55228
1000

=

55228 ÷ 4
1000 ÷ 4

=

13807
250
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