Converting 28.565 to a Fraction
Step-by-step explanation of how to convert 28.565 to a fraction
Result
28.565 =
5713
200
Mixed number:
28
113
200
Step 1: Identify the number of decimal places
The decimal 28.565 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
28.565 × 1000 = 28565
Step 3: Write as a fraction
28.565 =
28565
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 28565 and 1000.
GCD(28565, 1000) = 5
Divide both the numerator and denominator by the GCD:
28565
1000
=
28565 ÷ 5
1000 ÷ 5
=
5713
200
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