Converting 4.9872 to a Fraction
Step-by-step explanation of how to convert 4.9872 to a fraction
Result
4.9872 =
3117
625
Mixed number:
4
617
625
Step 1: Identify the number of decimal places
The decimal 4.9872 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
4.9872 × 10000 = 49872
Step 3: Write as a fraction
4.9872 =
49872
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 49872 and 10000.
GCD(49872, 10000) = 16
Divide both the numerator and denominator by the GCD:
49872
10000
=
49872 ÷ 16
10000 ÷ 16
=
3117
625
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