Converting 42.1404 to a Fraction
Step-by-step explanation of how to convert 42.1404 to a fraction

Result

42.1404 =
105351
2500
Mixed number:
42
351
2500

Step 1: Identify the number of decimal places

The decimal 42.1404 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

42.1404 × 10000 = 421404

Step 3: Write as a fraction

42.1404 =

421404
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 421404 and 10000.

GCD(421404, 10000) = 4

Divide both the numerator and denominator by the GCD:

421404
10000

=

421404 ÷ 4
10000 ÷ 4

=

105351
2500
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