Converting 3.49872 to a Fraction
Step-by-step explanation of how to convert 3.49872 to a fraction

Result

3.49872 =
21867
6250
Mixed number:
3
3117
6250

Step 1: Identify the number of decimal places

The decimal 3.49872 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

3.49872 × 100000 = 349872

Step 3: Write as a fraction

3.49872 =

349872
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 349872 and 100000.

GCD(349872, 100000) = 16

Divide both the numerator and denominator by the GCD:

349872
100000

=

349872 ÷ 16
100000 ÷ 16

=

21867
6250
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