Converting 6.965 to a Fraction
Step-by-step explanation of how to convert 6.965 to a fraction
Result
6.965 =
1393
200
Mixed number:
6
193
200
Step 1: Identify the number of decimal places
The decimal 6.965 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
6.965 × 1000 = 6965
Step 3: Write as a fraction
6.965 =
6965
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 6965 and 1000.
GCD(6965, 1000) = 5
Divide both the numerator and denominator by the GCD:
6965
1000
=
6965 ÷ 5
1000 ÷ 5
=
1393
200
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