Converting 42.1904 to a Fraction
Step-by-step explanation of how to convert 42.1904 to a fraction

Result

42.1904 =
26369
625
Mixed number:
42
119
625

Step 1: Identify the number of decimal places

The decimal 42.1904 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

42.1904 × 10000 = 421904

Step 3: Write as a fraction

42.1904 =

421904
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 421904 and 10000.

GCD(421904, 10000) = 16

Divide both the numerator and denominator by the GCD:

421904
10000

=

421904 ÷ 16
10000 ÷ 16

=

26369
625
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