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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