Converting 0.409824 to a Fraction
Step-by-step explanation of how to convert 0.409824 to a fraction
Result
0.409824 =
12807
31250
Step 1: Identify the number of decimal places
The decimal 0.409824 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
0.409824 × 1000000 = 409824
Step 3: Write as a fraction
0.409824 =
409824
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 409824 and 1000000.
GCD(409824, 1000000) = 32
Divide both the numerator and denominator by the GCD:
409824
1000000
=
409824 ÷ 32
1000000 ÷ 32
=
12807
31250
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