Converting 5.198744 to a Fraction
Step-by-step explanation of how to convert 5.198744 to a fraction
Result
5.198744 =
649843
125000
Mixed number:
5
24843
125000
Step 1: Identify the number of decimal places
The decimal 5.198744 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
5.198744 × 1000000 = 5198744
Step 3: Write as a fraction
5.198744 =
5198744
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 5198744 and 1000000.
GCD(5198744, 1000000) = 8
Divide both the numerator and denominator by the GCD:
5198744
1000000
=
5198744 ÷ 8
1000000 ÷ 8
=
649843
125000
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