Converting 8.42256 to a Fraction
Step-by-step explanation of how to convert 8.42256 to a fraction
Result
8.42256 =
52641
6250
Mixed number:
8
2641
6250
Step 1: Identify the number of decimal places
The decimal 8.42256 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
8.42256 × 100000 = 842256
Step 3: Write as a fraction
8.42256 =
842256
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 842256 and 100000.
GCD(842256, 100000) = 16
Divide both the numerator and denominator by the GCD:
842256
100000
=
842256 ÷ 16
100000 ÷ 16
=
52641
6250
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