Converting 3.14626 to a Fraction
Step-by-step explanation of how to convert 3.14626 to a fraction

Result

3.14626 =
157313
50000
Mixed number:
3
7313
50000

Step 1: Identify the number of decimal places

The decimal 3.14626 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

3.14626 × 100000 = 314626

Step 3: Write as a fraction

3.14626 =

314626
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 314626 and 100000.

GCD(314626, 100000) = 2

Divide both the numerator and denominator by the GCD:

314626
100000

=

314626 ÷ 2
100000 ÷ 2

=

157313
50000
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