Converting 14.5774 to a Fraction
Step-by-step explanation of how to convert 14.5774 to a fraction
Result
14.5774 =
72887
5000
Mixed number:
14
2887
5000
Step 1: Identify the number of decimal places
The decimal 14.5774 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
14.5774 × 10000 = 145774
Step 3: Write as a fraction
14.5774 =
145774
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 145774 and 10000.
GCD(145774, 10000) = 2
Divide both the numerator and denominator by the GCD:
145774
10000
=
145774 ÷ 2
10000 ÷ 2
=
72887
5000
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