Converting 11.46296 to a Fraction
Step-by-step explanation of how to convert 11.46296 to a fraction
Result
11.46296 =
143287
12500
Mixed number:
11
5787
12500
Step 1: Identify the number of decimal places
The decimal 11.46296 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
11.46296 × 100000 = 1146296
Step 3: Write as a fraction
11.46296 =
1146296
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1146296 and 100000.
GCD(1146296, 100000) = 8
Divide both the numerator and denominator by the GCD:
1146296
100000
=
1146296 ÷ 8
100000 ÷ 8
=
143287
12500
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