Converting 5.64258 to a Fraction
Step-by-step explanation of how to convert 5.64258 to a fraction

Result

5.64258 =
282129
50000
Mixed number:
5
32129
50000

Step 1: Identify the number of decimal places

The decimal 5.64258 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

5.64258 × 100000 = 564258

Step 3: Write as a fraction

5.64258 =

564258
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 564258 and 100000.

GCD(564258, 100000) = 2

Divide both the numerator and denominator by the GCD:

564258
100000

=

564258 ÷ 2
100000 ÷ 2

=

282129
50000
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