Converting 24.3584 to a Fraction
Step-by-step explanation of how to convert 24.3584 to a fraction
Result
24.3584 =
15224
625
Mixed number:
24
224
625
Step 1: Identify the number of decimal places
The decimal 24.3584 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
24.3584 × 10000 = 243584
Step 3: Write as a fraction
24.3584 =
243584
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 243584 and 10000.
GCD(243584, 10000) = 16
Divide both the numerator and denominator by the GCD:
243584
10000
=
243584 ÷ 16
10000 ÷ 16
=
15224
625
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