Converting 28.4575 to a Fraction
Step-by-step explanation of how to convert 28.4575 to a fraction
Result
28.4575 =
11383
400
Mixed number:
28
183
400
Step 1: Identify the number of decimal places
The decimal 28.4575 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
28.4575 × 10000 = 284575
Step 3: Write as a fraction
28.4575 =
284575
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 284575 and 10000.
GCD(284575, 10000) = 25
Divide both the numerator and denominator by the GCD:
284575
10000
=
284575 ÷ 25
10000 ÷ 25
=
11383
400
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