Converting 11.55872 to a Fraction
Step-by-step explanation of how to convert 11.55872 to a fraction

Result

11.55872 =
36121
3125
Mixed number:
11
1746
3125

Step 1: Identify the number of decimal places

The decimal 11.55872 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

11.55872 × 100000 = 1155872

Step 3: Write as a fraction

11.55872 =

1155872
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1155872 and 100000.

GCD(1155872, 100000) = 32

Divide both the numerator and denominator by the GCD:

1155872
100000

=

1155872 ÷ 32
100000 ÷ 32

=

36121
3125
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