Converting 28.6464 to a Fraction
Step-by-step explanation of how to convert 28.6464 to a fraction

Result

28.6464 =
17904
625
Mixed number:
28
404
625

Step 1: Identify the number of decimal places

The decimal 28.6464 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

28.6464 × 10000 = 286464

Step 3: Write as a fraction

28.6464 =

286464
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 286464 and 10000.

GCD(286464, 10000) = 16

Divide both the numerator and denominator by the GCD:

286464
10000

=

286464 ÷ 16
10000 ÷ 16

=

17904
625
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