Converting 5.586 to a Fraction
Step-by-step explanation of how to convert 5.586 to a fraction

Result

5.586 =
2793
500
Mixed number:
5
293
500

Step 1: Identify the number of decimal places

The decimal 5.586 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

5.586 × 1000 = 5586

Step 3: Write as a fraction

5.586 =

5586
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 5586 and 1000.

GCD(5586, 1000) = 2

Divide both the numerator and denominator by the GCD:

5586
1000

=

5586 ÷ 2
1000 ÷ 2

=

2793
500
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