Converting 10.3205 to a Fraction
Step-by-step explanation of how to convert 10.3205 to a fraction

Result

10.3205 =
20641
2000
Mixed number:
10
641
2000

Step 1: Identify the number of decimal places

The decimal 10.3205 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

10.3205 × 10000 = 103205

Step 3: Write as a fraction

10.3205 =

103205
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 103205 and 10000.

GCD(103205, 10000) = 5

Divide both the numerator and denominator by the GCD:

103205
10000

=

103205 ÷ 5
10000 ÷ 5

=

20641
2000
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