Converting 0.8366 to a Fraction
Step-by-step explanation of how to convert 0.8366 to a fraction

Result

0.8366 =
4183
5000

Step 1: Identify the number of decimal places

The decimal 0.8366 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.8366 × 10000 = 8366

Step 3: Write as a fraction

0.8366 =

8366
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8366 and 10000.

GCD(8366, 10000) = 2

Divide both the numerator and denominator by the GCD:

8366
10000

=

8366 ÷ 2
10000 ÷ 2

=

4183
5000
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