Converting 0.36782 to a Fraction
Step-by-step explanation of how to convert 0.36782 to a fraction

Result

0.36782 =
18391
50000

Step 1: Identify the number of decimal places

The decimal 0.36782 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.36782 × 100000 = 36782

Step 3: Write as a fraction

0.36782 =

36782
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 36782 and 100000.

GCD(36782, 100000) = 2

Divide both the numerator and denominator by the GCD:

36782
100000

=

36782 ÷ 2
100000 ÷ 2

=

18391
50000
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