Converting 2.84142 to a Fraction
Step-by-step explanation of how to convert 2.84142 to a fraction
Result
2.84142 =
142071
50000
Mixed number:
2
42071
50000
Step 1: Identify the number of decimal places
The decimal 2.84142 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
2.84142 × 100000 = 284142
Step 3: Write as a fraction
2.84142 =
284142
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 284142 and 100000.
GCD(284142, 100000) = 2
Divide both the numerator and denominator by the GCD:
284142
100000
=
284142 ÷ 2
100000 ÷ 2
=
142071
50000
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