Converting 6.746 to a Fraction
Step-by-step explanation of how to convert 6.746 to a fraction
Result
6.746 =
3373
500
Mixed number:
6
373
500
Step 1: Identify the number of decimal places
The decimal 6.746 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
6.746 × 1000 = 6746
Step 3: Write as a fraction
6.746 =
6746
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 6746 and 1000.
GCD(6746, 1000) = 2
Divide both the numerator and denominator by the GCD:
6746
1000
=
6746 ÷ 2
1000 ÷ 2
=
3373
500
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