Converting 6.685 to a Fraction
Step-by-step explanation of how to convert 6.685 to a fraction
Result
6.685 =
1337
200
Mixed number:
6
137
200
Step 1: Identify the number of decimal places
The decimal 6.685 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
6.685 × 1000 = 6685
Step 3: Write as a fraction
6.685 =
6685
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 6685 and 1000.
GCD(6685, 1000) = 5
Divide both the numerator and denominator by the GCD:
6685
1000
=
6685 ÷ 5
1000 ÷ 5
=
1337
200
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