Converting 0.6829 to a Fraction
Step-by-step explanation of how to convert 0.6829 to a fraction

Result

0.6829 =
6829
10000

Step 1: Identify the number of decimal places

The decimal 0.6829 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.6829 × 10000 = 6829

Step 3: Write as a fraction

0.6829 =

6829
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 6829 and 10000.

GCD(6829, 10000) = 1

Divide both the numerator and denominator by the GCD:

6829
10000

=

6829 ÷ 1
10000 ÷ 1

=

6829
10000
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