Converting 6.2045 to a Fraction
Step-by-step explanation of how to convert 6.2045 to a fraction

Result

6.2045 =
12409
2000
Mixed number:
6
409
2000

Step 1: Identify the number of decimal places

The decimal 6.2045 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

6.2045 × 10000 = 62045

Step 3: Write as a fraction

6.2045 =

62045
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 62045 and 10000.

GCD(62045, 10000) = 5

Divide both the numerator and denominator by the GCD:

62045
10000

=

62045 ÷ 5
10000 ÷ 5

=

12409
2000
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