Converting 8.165 to a Fraction
Step-by-step explanation of how to convert 8.165 to a fraction

Result

8.165 =
1633
200
Mixed number:
8
33
200

Step 1: Identify the number of decimal places

The decimal 8.165 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

8.165 × 1000 = 8165

Step 3: Write as a fraction

8.165 =

8165
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8165 and 1000.

GCD(8165, 1000) = 5

Divide both the numerator and denominator by the GCD:

8165
1000

=

8165 ÷ 5
1000 ÷ 5

=

1633
200
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