Converting 0.0566 to a Fraction
Step-by-step explanation of how to convert 0.0566 to a fraction

Result

0.0566 =
283
5000

Step 1: Identify the number of decimal places

The decimal 0.0566 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.0566 × 10000 = 566

Step 3: Write as a fraction

0.0566 =

566
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 566 and 10000.

GCD(566, 10000) = 2

Divide both the numerator and denominator by the GCD:

566
10000

=

566 ÷ 2
10000 ÷ 2

=

283
5000
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