Converting 14.5754 to a Fraction
Step-by-step explanation of how to convert 14.5754 to a fraction
Result
14.5754 =
72877
5000
Mixed number:
14
2877
5000
Step 1: Identify the number of decimal places
The decimal 14.5754 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
14.5754 × 10000 = 145754
Step 3: Write as a fraction
14.5754 =
145754
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 145754 and 10000.
GCD(145754, 10000) = 2
Divide both the numerator and denominator by the GCD:
145754
10000
=
145754 ÷ 2
10000 ÷ 2
=
72877
5000
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