Converting 28.4228 to a Fraction
Step-by-step explanation of how to convert 28.4228 to a fraction
Result
28.4228 =
71057
2500
Mixed number:
28
1057
2500
Step 1: Identify the number of decimal places
The decimal 28.4228 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
28.4228 × 10000 = 284228
Step 3: Write as a fraction
28.4228 =
284228
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 284228 and 10000.
GCD(284228, 10000) = 4
Divide both the numerator and denominator by the GCD:
284228
10000
=
284228 ÷ 4
10000 ÷ 4
=
71057
2500
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