Converting 3.1144 to a Fraction
Step-by-step explanation of how to convert 3.1144 to a fraction

Result

3.1144 =
3893
1250
Mixed number:
3
143
1250

Step 1: Identify the number of decimal places

The decimal 3.1144 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.1144 × 10000 = 31144

Step 3: Write as a fraction

3.1144 =

31144
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 31144 and 10000.

GCD(31144, 10000) = 8

Divide both the numerator and denominator by the GCD:

31144
10000

=

31144 ÷ 8
10000 ÷ 8

=

3893
1250
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