Converting 6.825 to a Fraction
Step-by-step explanation of how to convert 6.825 to a fraction
Result
6.825 =
273
40
Mixed number:
6
33
40
Step 1: Identify the number of decimal places
The decimal 6.825 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
6.825 × 1000 = 6825
Step 3: Write as a fraction
6.825 =
6825
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 6825 and 1000.
GCD(6825, 1000) = 25
Divide both the numerator and denominator by the GCD:
6825
1000
=
6825 ÷ 25
1000 ÷ 25
=
273
40
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