Converting 0.10202 to a Fraction
Step-by-step explanation of how to convert 0.10202 to a fraction
Result
0.10202 =
5101
50000
Step 1: Identify the number of decimal places
The decimal 0.10202 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
0.10202 × 100000 = 10202
Step 3: Write as a fraction
0.10202 =
10202
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 10202 and 100000.
GCD(10202, 100000) = 2
Divide both the numerator and denominator by the GCD:
10202
100000
=
10202 ÷ 2
100000 ÷ 2
=
5101
50000
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