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Answer :
Final answer:
The fractions 9/10 and 14/15 can be rewritten with a common denominator of 30. By multiplying numerators and denominators by the appropriate factors, they become 27/30 and 28/30 respectively.
Explanation:
To find a common denominator for 9/10 and 14/15, we are looking for the least common multiple (LCM) of the two denominators 10 and 15. The LCM of 10 and 15 is 30. Therefore, we want to rewrite the fractions with a denominator of 30. To do this, we multiply the numerator and denominator of each fraction by the appropriate factor. That means, 9/10 becomes 27/30 (because 9 times 3 equals 27, and 10 times 3 equals 30) and 14/15 becomes 28/30 (because 14 times 2 equals 28, and 15 times 2 equals 30). Thus the fractions 9/10 and 14/15, when they share the common denominator, are transformed into 27/30 and 28/30, respectively.
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