Converting 3.4872 to a Fraction
Step-by-step explanation of how to convert 3.4872 to a fraction

Result

3.4872 =
4359
1250
Mixed number:
3
609
1250

Step 1: Identify the number of decimal places

The decimal 3.4872 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.4872 × 10000 = 34872

Step 3: Write as a fraction

3.4872 =

34872
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 34872 and 10000.

GCD(34872, 10000) = 8

Divide both the numerator and denominator by the GCD:

34872
10000

=

34872 ÷ 8
10000 ÷ 8

=

4359
1250
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