Converting 0.20755 to a Fraction
Step-by-step explanation of how to convert 0.20755 to a fraction
Result
0.20755 =
4151
20000
Step 1: Identify the number of decimal places
The decimal 0.20755 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
0.20755 × 100000 = 20755
Step 3: Write as a fraction
0.20755 =
20755
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 20755 and 100000.
GCD(20755, 100000) = 5
Divide both the numerator and denominator by the GCD:
20755
100000
=
20755 ÷ 5
100000 ÷ 5
=
4151
20000
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