Converting 31.29876 to a Fraction
Step-by-step explanation of how to convert 31.29876 to a fraction

Result

31.29876 =
782469
25000
Mixed number:
31
7469
25000

Step 1: Identify the number of decimal places

The decimal 31.29876 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

31.29876 × 100000 = 3129876

Step 3: Write as a fraction

31.29876 =

3129876
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3129876 and 100000.

GCD(3129876, 100000) = 4

Divide both the numerator and denominator by the GCD:

3129876
100000

=

3129876 ÷ 4
100000 ÷ 4

=

782469
25000
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