Converting 10.20408 to a Fraction
Step-by-step explanation of how to convert 10.20408 to a fraction
Result
10.20408 =
127551
12500
Mixed number:
10
2551
12500
Step 1: Identify the number of decimal places
The decimal 10.20408 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
10.20408 × 100000 = 1020408
Step 3: Write as a fraction
10.20408 =
1020408
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1020408 and 100000.
GCD(1020408, 100000) = 8
Divide both the numerator and denominator by the GCD:
1020408
100000
=
1020408 ÷ 8
100000 ÷ 8
=
127551
12500
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