Converting 0.8383 to a Fraction
Step-by-step explanation of how to convert 0.8383 to a fraction

Result

0.8383 =
8383
10000

Step 1: Identify the number of decimal places

The decimal 0.8383 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.8383 × 10000 = 8383

Step 3: Write as a fraction

0.8383 =

8383
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8383 and 10000.

GCD(8383, 10000) = 1

Divide both the numerator and denominator by the GCD:

8383
10000

=

8383 ÷ 1
10000 ÷ 1

=

8383
10000
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