Converting 2.01945 to a Fraction
Step-by-step explanation of how to convert 2.01945 to a fraction

Result

2.01945 =
40389
20000
Mixed number:
2
389
20000

Step 1: Identify the number of decimal places

The decimal 2.01945 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

2.01945 × 100000 = 201945

Step 3: Write as a fraction

2.01945 =

201945
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 201945 and 100000.

GCD(201945, 100000) = 5

Divide both the numerator and denominator by the GCD:

201945
100000

=

201945 ÷ 5
100000 ÷ 5

=

40389
20000
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