Converting 0.489575 to a Fraction
Step-by-step explanation of how to convert 0.489575 to a fraction
Result
0.489575 =
19583
40000
Step 1: Identify the number of decimal places
The decimal 0.489575 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
0.489575 × 1000000 = 489575
Step 3: Write as a fraction
0.489575 =
489575
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 489575 and 1000000.
GCD(489575, 1000000) = 25
Divide both the numerator and denominator by the GCD:
489575
1000000
=
489575 ÷ 25
1000000 ÷ 25
=
19583
40000
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