Converting 2.085 to a Fraction
Step-by-step explanation of how to convert 2.085 to a fraction

Result

2.085 =
417
200
Mixed number:
2
17
200

Step 1: Identify the number of decimal places

The decimal 2.085 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

2.085 × 1000 = 2085

Step 3: Write as a fraction

2.085 =

2085
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2085 and 1000.

GCD(2085, 1000) = 5

Divide both the numerator and denominator by the GCD:

2085
1000

=

2085 ÷ 5
1000 ÷ 5

=

417
200
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