Converting 6.4578 to a Fraction
Step-by-step explanation of how to convert 6.4578 to a fraction
Result
6.4578 =
32289
5000
Mixed number:
6
2289
5000
Step 1: Identify the number of decimal places
The decimal 6.4578 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
6.4578 × 10000 = 64578
Step 3: Write as a fraction
6.4578 =
64578
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 64578 and 10000.
GCD(64578, 10000) = 2
Divide both the numerator and denominator by the GCD:
64578
10000
=
64578 ÷ 2
10000 ÷ 2
=
32289
5000
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