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Answer :
Final answer:
137 1/2 percent written as a fraction is 137.5%, which equals 1375/1000. After simplifying, it becomes 11/8.
Explanation:
To express 137 1/2 percent as a fraction, we first recognize that percent means 'per hundred'. So, 137 1/2 percent can be written as 137.5% (since 1/2 is equivalent to 0.5). Convert the percent to a fraction by writing it over 100 and simplify:
137.5% = 137.5 / 100.
Since we want a fraction in its simplest form, we need to remove the decimal point by multiplying both numerator and denominator by 10, thus giving:
1375 / 1000.
To simplify this fraction, we find the greatest common factor of 1375 and 1000, which is 25. Dividing both numerator and denominator by 25 gives:
55 / 40.
Which can be further simplified by dividing both the numerator and denominator by 5:
11 / 8.
Therefore, 137 1/2 percent as a fraction in its lowest terms is 11/8.
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