Converting 0.0565 to a Fraction
Step-by-step explanation of how to convert 0.0565 to a fraction

Result

0.0565 =
113
2000

Step 1: Identify the number of decimal places

The decimal 0.0565 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.0565 × 10000 = 565

Step 3: Write as a fraction

0.0565 =

565
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 565 and 10000.

GCD(565, 10000) = 5

Divide both the numerator and denominator by the GCD:

565
10000

=

565 ÷ 5
10000 ÷ 5

=

113
2000
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