Converting 3.1125 to a Fraction
Step-by-step explanation of how to convert 3.1125 to a fraction

Result

3.1125 =
249
80
Mixed number:
3
9
80

Step 1: Identify the number of decimal places

The decimal 3.1125 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.1125 × 10000 = 31125

Step 3: Write as a fraction

3.1125 =

31125
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 31125 and 10000.

GCD(31125, 10000) = 125

Divide both the numerator and denominator by the GCD:

31125
10000

=

31125 ÷ 125
10000 ÷ 125

=

249
80
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