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11/6=n+7/9 what does n equal

Sagot :

tjcoffman2022

Answer:

n = 19/18

Step-by-step explanation:

11/6 = n + 7/9

-n + 11/6 = 7/9

-n = 7/9 - 11/6

-n = -19/18

n = 19/18

altavistard

Answer:

n = 19/18

Step-by-step explanation:

The equation 11/6=n+7/9 has fractions with two different denominators (6 and 9).  The LCD is 18, which is the smallest number evenly divisible by 6 and 9.  Thus, we can rewrite 11/6=n+7/9 as:

33/18 = (18/18)n + 14/18 (Now all three denominators are the same:  18)

Then 33 = 18n + 14, or

         19 = 18n

Dividing both sides by 18, we get n = 19/18

Check:  Is 11/6 = 19/18 + 7/9 true?  YES

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