Converting 16.5684 to a Fraction
Step-by-step explanation of how to convert 16.5684 to a fraction
Result
16.5684 =
41421
2500
Mixed number:
16
1421
2500
Step 1: Identify the number of decimal places
The decimal 16.5684 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
16.5684 × 10000 = 165684
Step 3: Write as a fraction
16.5684 =
165684
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 165684 and 10000.
GCD(165684, 10000) = 4
Divide both the numerator and denominator by the GCD:
165684
10000
=
165684 ÷ 4
10000 ÷ 4
=
41421
2500
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