Converting 6.675 to a Fraction
Step-by-step explanation of how to convert 6.675 to a fraction
Result
6.675 =
267
40
Mixed number:
6
27
40
Step 1: Identify the number of decimal places
The decimal 6.675 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
6.675 × 1000 = 6675
Step 3: Write as a fraction
6.675 =
6675
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 6675 and 1000.
GCD(6675, 1000) = 25
Divide both the numerator and denominator by the GCD:
6675
1000
=
6675 ÷ 25
1000 ÷ 25
=
267
40
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