Converting 49.872 to a Fraction
Step-by-step explanation of how to convert 49.872 to a fraction
Result
49.872 =
6234
125
Mixed number:
49
109
125
Step 1: Identify the number of decimal places
The decimal 49.872 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
49.872 × 1000 = 49872
Step 3: Write as a fraction
49.872 =
49872
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 49872 and 1000.
GCD(49872, 1000) = 8
Divide both the numerator and denominator by the GCD:
49872
1000
=
49872 ÷ 8
1000 ÷ 8
=
6234
125
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