Converting 11.44624 to a Fraction
Step-by-step explanation of how to convert 11.44624 to a fraction
Result
11.44624 =
71539
6250
Mixed number:
11
2789
6250
Step 1: Identify the number of decimal places
The decimal 11.44624 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
11.44624 × 100000 = 1144624
Step 3: Write as a fraction
11.44624 =
1144624
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1144624 and 100000.
GCD(1144624, 100000) = 16
Divide both the numerator and denominator by the GCD:
1144624
100000
=
1144624 ÷ 16
100000 ÷ 16
=
71539
6250
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