Converting 97.8256 to a Fraction
Step-by-step explanation of how to convert 97.8256 to a fraction

Result

97.8256 =
61141
625
Mixed number:
97
516
625

Step 1: Identify the number of decimal places

The decimal 97.8256 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

97.8256 × 10000 = 978256

Step 3: Write as a fraction

97.8256 =

978256
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 978256 and 10000.

GCD(978256, 10000) = 16

Divide both the numerator and denominator by the GCD:

978256
10000

=

978256 ÷ 16
10000 ÷ 16

=

61141
625
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