Converting 49.75984 to a Fraction
Step-by-step explanation of how to convert 49.75984 to a fraction
Result
49.75984 =
310999
6250
Mixed number:
49
4749
6250
Step 1: Identify the number of decimal places
The decimal 49.75984 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
49.75984 × 100000 = 4975984
Step 3: Write as a fraction
49.75984 =
4975984
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4975984 and 100000.
GCD(4975984, 100000) = 16
Divide both the numerator and denominator by the GCD:
4975984
100000
=
4975984 ÷ 16
100000 ÷ 16
=
310999
6250
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