Converting 0.408984 to a Fraction
Step-by-step explanation of how to convert 0.408984 to a fraction
Result
0.408984 =
51123
125000
Step 1: Identify the number of decimal places
The decimal 0.408984 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
0.408984 × 1000000 = 408984
Step 3: Write as a fraction
0.408984 =
408984
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 408984 and 1000000.
GCD(408984, 1000000) = 8
Divide both the numerator and denominator by the GCD:
408984
1000000
=
408984 ÷ 8
1000000 ÷ 8
=
51123
125000
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