Converting 8.3116 to a Fraction
Step-by-step explanation of how to convert 8.3116 to a fraction

Result

8.3116 =
20779
2500
Mixed number:
8
779
2500

Step 1: Identify the number of decimal places

The decimal 8.3116 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

8.3116 × 10000 = 83116

Step 3: Write as a fraction

8.3116 =

83116
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 83116 and 10000.

GCD(83116, 10000) = 4

Divide both the numerator and denominator by the GCD:

83116
10000

=

83116 ÷ 4
10000 ÷ 4

=

20779
2500
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