Converting 47.228 to a Fraction
Step-by-step explanation of how to convert 47.228 to a fraction
Result
47.228 =
11807
250
Mixed number:
47
57
250
Step 1: Identify the number of decimal places
The decimal 47.228 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
47.228 × 1000 = 47228
Step 3: Write as a fraction
47.228 =
47228
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 47228 and 1000.
GCD(47228, 1000) = 4
Divide both the numerator and denominator by the GCD:
47228
1000
=
47228 ÷ 4
1000 ÷ 4
=
11807
250
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