Converting 8.20512 to a Fraction
Step-by-step explanation of how to convert 8.20512 to a fraction

Result

8.20512 =
25641
3125
Mixed number:
8
641
3125

Step 1: Identify the number of decimal places

The decimal 8.20512 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

8.20512 × 100000 = 820512

Step 3: Write as a fraction

8.20512 =

820512
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 820512 and 100000.

GCD(820512, 100000) = 32

Divide both the numerator and denominator by the GCD:

820512
100000

=

820512 ÷ 32
100000 ÷ 32

=

25641
3125
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