Converting 0.8223 to a Fraction
Step-by-step explanation of how to convert 0.8223 to a fraction

Result

0.8223 =
8223
10000

Step 1: Identify the number of decimal places

The decimal 0.8223 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.8223 × 10000 = 8223

Step 3: Write as a fraction

0.8223 =

8223
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8223 and 10000.

GCD(8223, 10000) = 1

Divide both the numerator and denominator by the GCD:

8223
10000

=

8223 ÷ 1
10000 ÷ 1

=

8223
10000
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