Final answer:
To multiply 7/9 by the sum of 8/7 and 11/14, first find a common denominator for the sum, simplify, and then perform the multiplication. After simplification, the answer is 3/2, which is option B.
The correct option is B.
Step-by-step explanation:
To multiply 7/9 to the sum of 8/7 and 11/14, first find the sum of 8/7 and 11/14. To do this, you need a common denominator, which in this case is 14, since 14 is a multiple of both 7 and 14.
Convert 8/7 to a fraction with a denominator of 14:
8/7 = (8 * 2)/(7 * 2) = 16/14
So, now you can add the two fractions:
16/14 + 11/14 = 27/14
Next, multiply this sum by 7/9:
(7/9) * (27/14) = (7 * 27) / (9 * 14)
By simplifying the multiplication, you get:
189 / 126
Both 189 and 126 are divisible by 9:
(189 / 9) / (126 / 9) = 21 / 14
Finally, simplify this fraction by dividing both numerator and denominator by 7:
21 / 14 = (21 / 7) / (14 / 7) = 3 / 2
Therefore, the correct answer is B. 3/2.