Converting 0.92142 to a Fraction
Step-by-step explanation of how to convert 0.92142 to a fraction

Result

0.92142 =
46071
50000

Step 1: Identify the number of decimal places

The decimal 0.92142 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.92142 × 100000 = 92142

Step 3: Write as a fraction

0.92142 =

92142
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 92142 and 100000.

GCD(92142, 100000) = 2

Divide both the numerator and denominator by the GCD:

92142
100000

=

92142 ÷ 2
100000 ÷ 2

=

46071
50000
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