Converting 24.2232 to a Fraction
Step-by-step explanation of how to convert 24.2232 to a fraction

Result

24.2232 =
30279
1250
Mixed number:
24
279
1250

Step 1: Identify the number of decimal places

The decimal 24.2232 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

24.2232 × 10000 = 242232

Step 3: Write as a fraction

24.2232 =

242232
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 242232 and 10000.

GCD(242232, 10000) = 8

Divide both the numerator and denominator by the GCD:

242232
10000

=

242232 ÷ 8
10000 ÷ 8

=

30279
1250
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