Converting 3.09288 to a Fraction
Step-by-step explanation of how to convert 3.09288 to a fraction

Result

3.09288 =
38661
12500
Mixed number:
3
1161
12500

Step 1: Identify the number of decimal places

The decimal 3.09288 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

3.09288 × 100000 = 309288

Step 3: Write as a fraction

3.09288 =

309288
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 309288 and 100000.

GCD(309288, 100000) = 8

Divide both the numerator and denominator by the GCD:

309288
100000

=

309288 ÷ 8
100000 ÷ 8

=

38661
12500
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