Converting 2.0675 to a Fraction
Step-by-step explanation of how to convert 2.0675 to a fraction

Result

2.0675 =
827
400
Mixed number:
2
27
400

Step 1: Identify the number of decimal places

The decimal 2.0675 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

2.0675 × 10000 = 20675

Step 3: Write as a fraction

2.0675 =

20675
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 20675 and 10000.

GCD(20675, 10000) = 25

Divide both the numerator and denominator by the GCD:

20675
10000

=

20675 ÷ 25
10000 ÷ 25

=

827
400
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