Converting 18.2364 to a Fraction
Step-by-step explanation of how to convert 18.2364 to a fraction

Result

18.2364 =
45591
2500
Mixed number:
18
591
2500

Step 1: Identify the number of decimal places

The decimal 18.2364 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

18.2364 × 10000 = 182364

Step 3: Write as a fraction

18.2364 =

182364
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 182364 and 10000.

GCD(182364, 10000) = 4

Divide both the numerator and denominator by the GCD:

182364
10000

=

182364 ÷ 4
10000 ÷ 4

=

45591
2500
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