Converting 3.1128 to a Fraction
Step-by-step explanation of how to convert 3.1128 to a fraction

Result

3.1128 =
3891
1250
Mixed number:
3
141
1250

Step 1: Identify the number of decimal places

The decimal 3.1128 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.1128 × 10000 = 31128

Step 3: Write as a fraction

3.1128 =

31128
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 31128 and 10000.

GCD(31128, 10000) = 8

Divide both the numerator and denominator by the GCD:

31128
10000

=

31128 ÷ 8
10000 ÷ 8

=

3891
1250
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