Converting 3.1126 to a Fraction
Step-by-step explanation of how to convert 3.1126 to a fraction

Result

3.1126 =
15563
5000
Mixed number:
3
563
5000

Step 1: Identify the number of decimal places

The decimal 3.1126 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.1126 × 10000 = 31126

Step 3: Write as a fraction

3.1126 =

31126
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 31126 and 10000.

GCD(31126, 10000) = 2

Divide both the numerator and denominator by the GCD:

31126
10000

=

31126 ÷ 2
10000 ÷ 2

=

15563
5000
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