Converting 29.8256 to a Fraction
Step-by-step explanation of how to convert 29.8256 to a fraction

Result

29.8256 =
18641
625
Mixed number:
29
516
625

Step 1: Identify the number of decimal places

The decimal 29.8256 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

29.8256 × 10000 = 298256

Step 3: Write as a fraction

29.8256 =

298256
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 298256 and 10000.

GCD(298256, 10000) = 16

Divide both the numerator and denominator by the GCD:

298256
10000

=

298256 ÷ 16
10000 ÷ 16

=

18641
625
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