Answer :
Final answer:
The sum of (14)/(15) and (8)/(9) is 82/45 when expressed in its simplest form.
Explanation:
In Mathematics, to perform the addition of fractions, you first need to find a common denominator. The common denominator of (14)/(15) and (8)/(9) is 135, because 15 and 9 are both divisible by 135.
Once you have the common denominator, you can now convert the fractions by multiplying the numerator and denominator. So, (14)/(15) becomes 126/135, and (8)/(9) becomes 120/135.
Now, you add the fractions. (126/135) + (120/135) equals 246/135.
To express this in the simplest form, you divide the numerator and the denominator by their greatest common divisor, which is 3. This gives you 82/45.
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