Converting 29.2272 to a Fraction
Step-by-step explanation of how to convert 29.2272 to a fraction

Result

29.2272 =
18267
625
Mixed number:
29
142
625

Step 1: Identify the number of decimal places

The decimal 29.2272 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

29.2272 × 10000 = 292272

Step 3: Write as a fraction

29.2272 =

292272
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 292272 and 10000.

GCD(292272, 10000) = 16

Divide both the numerator and denominator by the GCD:

292272
10000

=

292272 ÷ 16
10000 ÷ 16

=

18267
625
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