Converting 8.1305 to a Fraction
Step-by-step explanation of how to convert 8.1305 to a fraction

Result

8.1305 =
16261
2000
Mixed number:
8
261
2000

Step 1: Identify the number of decimal places

The decimal 8.1305 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

8.1305 × 10000 = 81305

Step 3: Write as a fraction

8.1305 =

81305
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 81305 and 10000.

GCD(81305, 10000) = 5

Divide both the numerator and denominator by the GCD:

81305
10000

=

81305 ÷ 5
10000 ÷ 5

=

16261
2000
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