Converting 42.4156 to a Fraction
Step-by-step explanation of how to convert 42.4156 to a fraction

Result

42.4156 =
106039
2500
Mixed number:
42
1039
2500

Step 1: Identify the number of decimal places

The decimal 42.4156 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

42.4156 × 10000 = 424156

Step 3: Write as a fraction

42.4156 =

424156
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 424156 and 10000.

GCD(424156, 10000) = 4

Divide both the numerator and denominator by the GCD:

424156
10000

=

424156 ÷ 4
10000 ÷ 4

=

106039
2500
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