Converting 6.345 to a Fraction
Step-by-step explanation of how to convert 6.345 to a fraction
Result
6.345 =
1269
200
Mixed number:
6
69
200
Step 1: Identify the number of decimal places
The decimal 6.345 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
6.345 × 1000 = 6345
Step 3: Write as a fraction
6.345 =
6345
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 6345 and 1000.
GCD(6345, 1000) = 5
Divide both the numerator and denominator by the GCD:
6345
1000
=
6345 ÷ 5
1000 ÷ 5
=
1269
200
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