Converting 16.5738 to a Fraction
Step-by-step explanation of how to convert 16.5738 to a fraction
Result
16.5738 =
82869
5000
Mixed number:
16
2869
5000
Step 1: Identify the number of decimal places
The decimal 16.5738 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
16.5738 × 10000 = 165738
Step 3: Write as a fraction
16.5738 =
165738
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 165738 and 10000.
GCD(165738, 10000) = 2
Divide both the numerator and denominator by the GCD:
165738
10000
=
165738 ÷ 2
10000 ÷ 2
=
82869
5000
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