Converting 0.82742 to a Fraction
Step-by-step explanation of how to convert 0.82742 to a fraction

Result

0.82742 =
41371
50000

Step 1: Identify the number of decimal places

The decimal 0.82742 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.82742 × 100000 = 82742

Step 3: Write as a fraction

0.82742 =

82742
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 82742 and 100000.

GCD(82742, 100000) = 2

Divide both the numerator and denominator by the GCD:

82742
100000

=

82742 ÷ 2
100000 ÷ 2

=

41371
50000
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