Converting 3.1275 to a Fraction
Step-by-step explanation of how to convert 3.1275 to a fraction

Result

3.1275 =
1251
400
Mixed number:
3
51
400

Step 1: Identify the number of decimal places

The decimal 3.1275 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.1275 × 10000 = 31275

Step 3: Write as a fraction

3.1275 =

31275
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 31275 and 10000.

GCD(31275, 10000) = 25

Divide both the numerator and denominator by the GCD:

31275
10000

=

31275 ÷ 25
10000 ÷ 25

=

1251
400
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