Converting 0.08205 to a Fraction
Step-by-step explanation of how to convert 0.08205 to a fraction

Result

0.08205 =
1641
20000

Step 1: Identify the number of decimal places

The decimal 0.08205 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.08205 × 100000 = 8205

Step 3: Write as a fraction

0.08205 =

8205
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8205 and 100000.

GCD(8205, 100000) = 5

Divide both the numerator and denominator by the GCD:

8205
100000

=

8205 ÷ 5
100000 ÷ 5

=

1641
20000
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