Converting 3.1272 to a Fraction
Step-by-step explanation of how to convert 3.1272 to a fraction

Result

3.1272 =
3909
1250
Mixed number:
3
159
1250

Step 1: Identify the number of decimal places

The decimal 3.1272 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.1272 × 10000 = 31272

Step 3: Write as a fraction

3.1272 =

31272
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 31272 and 10000.

GCD(31272, 10000) = 8

Divide both the numerator and denominator by the GCD:

31272
10000

=

31272 ÷ 8
10000 ÷ 8

=

3909
1250
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