Converting 8.11538 to a Fraction
Step-by-step explanation of how to convert 8.11538 to a fraction

Result

8.11538 =
405769
50000
Mixed number:
8
5769
50000

Step 1: Identify the number of decimal places

The decimal 8.11538 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

8.11538 × 100000 = 811538

Step 3: Write as a fraction

8.11538 =

811538
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 811538 and 100000.

GCD(811538, 100000) = 2

Divide both the numerator and denominator by the GCD:

811538
100000

=

811538 ÷ 2
100000 ÷ 2

=

405769
50000
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