Converting 6.4805 to a Fraction
Step-by-step explanation of how to convert 6.4805 to a fraction
Result
6.4805 =
12961
2000
Mixed number:
6
961
2000
Step 1: Identify the number of decimal places
The decimal 6.4805 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
6.4805 × 10000 = 64805
Step 3: Write as a fraction
6.4805 =
64805
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 64805 and 10000.
GCD(64805, 10000) = 5
Divide both the numerator and denominator by the GCD:
64805
10000
=
64805 ÷ 5
10000 ÷ 5
=
12961
2000
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