Converting 0.2052 to a Fraction
Step-by-step explanation of how to convert 0.2052 to a fraction
Result
0.2052 =
513
2500
Step 1: Identify the number of decimal places
The decimal 0.2052 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
0.2052 × 10000 = 2052
Step 3: Write as a fraction
0.2052 =
2052
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 2052 and 10000.
GCD(2052, 10000) = 4
Divide both the numerator and denominator by the GCD:
2052
10000
=
2052 ÷ 4
10000 ÷ 4
=
513
2500
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