Converting 0.13585 to a Fraction
Step-by-step explanation of how to convert 0.13585 to a fraction
Result
0.13585 =
2717
20000
Step 1: Identify the number of decimal places
The decimal 0.13585 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
0.13585 × 100000 = 13585
Step 3: Write as a fraction
0.13585 =
13585
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 13585 and 100000.
GCD(13585, 100000) = 5
Divide both the numerator and denominator by the GCD:
13585
100000
=
13585 ÷ 5
100000 ÷ 5
=
2717
20000
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