Converting 4.09876 to a Fraction
Step-by-step explanation of how to convert 4.09876 to a fraction

Result

4.09876 =
102469
25000
Mixed number:
4
2469
25000

Step 1: Identify the number of decimal places

The decimal 4.09876 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

4.09876 × 100000 = 409876

Step 3: Write as a fraction

4.09876 =

409876
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 409876 and 100000.

GCD(409876, 100000) = 4

Divide both the numerator and denominator by the GCD:

409876
100000

=

409876 ÷ 4
100000 ÷ 4

=

102469
25000
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