Respuesta :

Question:

2/3 + y - 1/9 = 7/9

y = ?

Solution:

Find A Common Denominator For 2/3 Which Is 6/9

6/9 + 2/9 = 8/9

8/9 - 1/9 = 7/9

6/9 + 2/9 - 1/9 = 7/9

Final Answer:

y = 2/9

Hope This Helps!

-EliteAnswers-


Firstly, we have to find the LCD, or lowest common denominator, of 1/9 and 2/3. We can find this by listing all the multiples of 9 and 3. In this case, the LCM is 9. Multiply 1/9 by 1/1 and 2/3 by 3/3:

[tex] \frac{2}{3} \times \frac{3}{3}=\frac{6}{9}\\\\\frac{1}{9}\times\frac{1}{1}=\frac{1}{9}\\\\ \frac{6}{9}+y-\frac{1}{9}=\frac{7}{9} [/tex]

Now subtract 1/9 from 6/9: [tex] \frac{5}{9} +y=\frac{7}{9} [/tex]

Now subtract 5/9 from 7/9 and your answer will be [tex] y=\frac{2}{9} [/tex]

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