Converting 42.2168 to a Fraction
Step-by-step explanation of how to convert 42.2168 to a fraction
Result
42.2168 =
52771
1250
Mixed number:
42
271
1250
Step 1: Identify the number of decimal places
The decimal 42.2168 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
42.2168 × 10000 = 422168
Step 3: Write as a fraction
42.2168 =
422168
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 422168 and 10000.
GCD(422168, 10000) = 8
Divide both the numerator and denominator by the GCD:
422168
10000
=
422168 ÷ 8
10000 ÷ 8
=
52771
1250
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