Converting 5.43824 to a Fraction
Step-by-step explanation of how to convert 5.43824 to a fraction
Result
5.43824 =
33989
6250
Mixed number:
5
2739
6250
Step 1: Identify the number of decimal places
The decimal 5.43824 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
5.43824 × 100000 = 543824
Step 3: Write as a fraction
5.43824 =
543824
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 543824 and 100000.
GCD(543824, 100000) = 16
Divide both the numerator and denominator by the GCD:
543824
100000
=
543824 ÷ 16
100000 ÷ 16
=
33989
6250
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