Converting 8.185 to a Fraction
Step-by-step explanation of how to convert 8.185 to a fraction

Result

8.185 =
1637
200
Mixed number:
8
37
200

Step 1: Identify the number of decimal places

The decimal 8.185 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

8.185 × 1000 = 8185

Step 3: Write as a fraction

8.185 =

8185
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8185 and 1000.

GCD(8185, 1000) = 5

Divide both the numerator and denominator by the GCD:

8185
1000

=

8185 ÷ 5
1000 ÷ 5

=

1637
200
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