Converting 0.409 to a Fraction
Step-by-step explanation of how to convert 0.409 to a fraction
Result
0.409 =
409
1000
Step 1: Identify the number of decimal places
The decimal 0.409 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
0.409 × 1000 = 409
Step 3: Write as a fraction
0.409 =
409
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 409 and 1000.
GCD(409, 1000) = 1
Divide both the numerator and denominator by the GCD:
409
1000
=
409 ÷ 1
1000 ÷ 1
=
409
1000
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