Converting 11.584 to a Fraction
Step-by-step explanation of how to convert 11.584 to a fraction
Result
11.584 =
1448
125
Mixed number:
11
73
125
Step 1: Identify the number of decimal places
The decimal 11.584 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
11.584 × 1000 = 11584
Step 3: Write as a fraction
11.584 =
11584
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 11584 and 1000.
GCD(11584, 1000) = 8
Divide both the numerator and denominator by the GCD:
11584
1000
=
11584 ÷ 8
1000 ÷ 8
=
1448
125
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