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Answer :
Final answer:
To find 5 rational numbers between 11/12 and 13/15, first find a common denominator. Then subtract 1/6 from the original fraction multiple times to get the desired numbers.
Explanation:
To find 5 rational numbers between 11/12 and 13/15, we first need to find a common denominator. The least common multiple (LCM) of 12 and 15 is 60, so we can rewrite the given numbers as 55/60 and 52/60. Since the denominator is the same, we can find the difference between the two fractions and divide it by 6 (since we want 5 numbers). This gives us:
- First rational number: 55/60 - (1/6) = 50/60
- Second rational number: 50/60 - (1/6) = 45/60
- Third rational number: 45/60 - (1/6) = 40/60
- Fourth rational number: 40/60 - (1/6) = 35/60
- Fifth rational number: 35/60 - (1/6) = 30/60
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