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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