Converting 6.823 to a Fraction
Step-by-step explanation of how to convert 6.823 to a fraction
Result
6.823 =
6823
1000
Mixed number:
6
823
1000
Step 1: Identify the number of decimal places
The decimal 6.823 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
6.823 × 1000 = 6823
Step 3: Write as a fraction
6.823 =
6823
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 6823 and 1000.
GCD(6823, 1000) = 1
Divide both the numerator and denominator by the GCD:
6823
1000
=
6823 ÷ 1
1000 ÷ 1
=
6823
1000
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