Converting 18.2264 to a Fraction
Step-by-step explanation of how to convert 18.2264 to a fraction

Result

18.2264 =
22783
1250
Mixed number:
18
283
1250

Step 1: Identify the number of decimal places

The decimal 18.2264 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

18.2264 × 10000 = 182264

Step 3: Write as a fraction

18.2264 =

182264
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 182264 and 10000.

GCD(182264, 10000) = 8

Divide both the numerator and denominator by the GCD:

182264
10000

=

182264 ÷ 8
10000 ÷ 8

=

22783
1250
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