Converting 3.142824 to a Fraction
Step-by-step explanation of how to convert 3.142824 to a fraction

Result

3.142824 =
392853
125000
Mixed number:
3
17853
125000

Step 1: Identify the number of decimal places

The decimal 3.142824 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

3.142824 × 1000000 = 3142824

Step 3: Write as a fraction

3.142824 =

3142824
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3142824 and 1000000.

GCD(3142824, 1000000) = 8

Divide both the numerator and denominator by the GCD:

3142824
1000000

=

3142824 ÷ 8
1000000 ÷ 8

=

392853
125000
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