Converting 0.42105 to a Fraction
Step-by-step explanation of how to convert 0.42105 to a fraction
Result
0.42105 =
8421
20000
Step 1: Identify the number of decimal places
The decimal 0.42105 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
0.42105 × 100000 = 42105
Step 3: Write as a fraction
0.42105 =
42105
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 42105 and 100000.
GCD(42105, 100000) = 5
Divide both the numerator and denominator by the GCD:
42105
100000
=
42105 ÷ 5
100000 ÷ 5
=
8421
20000
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