Converting 11.789736 to a Fraction
Step-by-step explanation of how to convert 11.789736 to a fraction
Result
11.789736 =
1473717
125000
Mixed number:
11
98717
125000
Step 1: Identify the number of decimal places
The decimal 11.789736 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
11.789736 × 1000000 = 11789736
Step 3: Write as a fraction
11.789736 =
11789736
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 11789736 and 1000000.
GCD(11789736, 1000000) = 8
Divide both the numerator and denominator by the GCD:
11789736
1000000
=
11789736 ÷ 8
1000000 ÷ 8
=
1473717
125000
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