Converting 5.228 to a Fraction
Step-by-step explanation of how to convert 5.228 to a fraction
Result
5.228 =
1307
250
Mixed number:
5
57
250
Step 1: Identify the number of decimal places
The decimal 5.228 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
5.228 × 1000 = 5228
Step 3: Write as a fraction
5.228 =
5228
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 5228 and 1000.
GCD(5228, 1000) = 4
Divide both the numerator and denominator by the GCD:
5228
1000
=
5228 ÷ 4
1000 ÷ 4
=
1307
250
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