Converting 8.5658 to a Fraction
Step-by-step explanation of how to convert 8.5658 to a fraction

Result

8.5658 =
42829
5000
Mixed number:
8
2829
5000

Step 1: Identify the number of decimal places

The decimal 8.5658 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

8.5658 × 10000 = 85658

Step 3: Write as a fraction

8.5658 =

85658
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 85658 and 10000.

GCD(85658, 10000) = 2

Divide both the numerator and denominator by the GCD:

85658
10000

=

85658 ÷ 2
10000 ÷ 2

=

42829
5000
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