Converting 23.2272 to a Fraction
Step-by-step explanation of how to convert 23.2272 to a fraction

Result

23.2272 =
14517
625
Mixed number:
23
142
625

Step 1: Identify the number of decimal places

The decimal 23.2272 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

23.2272 × 10000 = 232272

Step 3: Write as a fraction

23.2272 =

232272
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 232272 and 10000.

GCD(232272, 10000) = 16

Divide both the numerator and denominator by the GCD:

232272
10000

=

232272 ÷ 16
10000 ÷ 16

=

14517
625
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