Converting 30.2224 to a Fraction
Step-by-step explanation of how to convert 30.2224 to a fraction

Result

30.2224 =
18889
625
Mixed number:
30
139
625

Step 1: Identify the number of decimal places

The decimal 30.2224 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

30.2224 × 10000 = 302224

Step 3: Write as a fraction

30.2224 =

302224
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 302224 and 10000.

GCD(302224, 10000) = 16

Divide both the numerator and denominator by the GCD:

302224
10000

=

302224 ÷ 16
10000 ÷ 16

=

18889
625
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