Converting 0.085 to a Fraction
Step-by-step explanation of how to convert 0.085 to a fraction

Result

0.085 =
17
200

Step 1: Identify the number of decimal places

The decimal 0.085 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

0.085 × 1000 = 85

Step 3: Write as a fraction

0.085 =

85
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 85 and 1000.

GCD(85, 1000) = 5

Divide both the numerator and denominator by the GCD:

85
1000

=

85 ÷ 5
1000 ÷ 5

=

17
200
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