Converting 2.084875 to a Fraction
Step-by-step explanation of how to convert 2.084875 to a fraction

Result

2.084875 =
16679
8000
Mixed number:
2
679
8000

Step 1: Identify the number of decimal places

The decimal 2.084875 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

2.084875 × 1000000 = 2084875

Step 3: Write as a fraction

2.084875 =

2084875
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2084875 and 1000000.

GCD(2084875, 1000000) = 125

Divide both the numerator and denominator by the GCD:

2084875
1000000

=

2084875 ÷ 125
1000000 ÷ 125

=

16679
8000
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