Converting 8.5642 to a Fraction
Step-by-step explanation of how to convert 8.5642 to a fraction

Result

8.5642 =
42821
5000
Mixed number:
8
2821
5000

Step 1: Identify the number of decimal places

The decimal 8.5642 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

8.5642 × 10000 = 85642

Step 3: Write as a fraction

8.5642 =

85642
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 85642 and 10000.

GCD(85642, 10000) = 2

Divide both the numerator and denominator by the GCD:

85642
10000

=

85642 ÷ 2
10000 ÷ 2

=

42821
5000
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