Converting 0.842142 to a Fraction
Step-by-step explanation of how to convert 0.842142 to a fraction
Result
0.842142 =
421071
500000
Step 1: Identify the number of decimal places
The decimal 0.842142 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
0.842142 × 1000000 = 842142
Step 3: Write as a fraction
0.842142 =
842142
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 842142 and 1000000.
GCD(842142, 1000000) = 2
Divide both the numerator and denominator by the GCD:
842142
1000000
=
842142 ÷ 2
1000000 ÷ 2
=
421071
500000
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