Converting 11.9575 to a Fraction
Step-by-step explanation of how to convert 11.9575 to a fraction
Result
11.9575 =
4783
400
Mixed number:
11
383
400
Step 1: Identify the number of decimal places
The decimal 11.9575 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
11.9575 × 10000 = 119575
Step 3: Write as a fraction
11.9575 =
119575
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 119575 and 10000.
GCD(119575, 10000) = 25
Divide both the numerator and denominator by the GCD:
119575
10000
=
119575 ÷ 25
10000 ÷ 25
=
4783
400
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