Converting 4.2045 to a Fraction
Step-by-step explanation of how to convert 4.2045 to a fraction

Result

4.2045 =
8409
2000
Mixed number:
4
409
2000

Step 1: Identify the number of decimal places

The decimal 4.2045 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.2045 × 10000 = 42045

Step 3: Write as a fraction

4.2045 =

42045
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 42045 and 10000.

GCD(42045, 10000) = 5

Divide both the numerator and denominator by the GCD:

42045
10000

=

42045 ÷ 5
10000 ÷ 5

=

8409
2000
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