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−1 7/9 is the same as the sum of −2 5/6 and 1/3 times a number. What is the number? Enter your answer as a mixed number in simplest form in the box.

Sagot :

Answer:

x = 13 5/6

Step-by-step explanation:

1 7/9 = - 2 5/6 + 1/3x

16/9 = - 17/6 = 1/3 x

16/9 + 17/6 = 1/3x

83/18 1/3x

(83/18) / (1/3) = x

x = 83/6 = 13 5/6

Answer:

3 1/6 =  x

Step-by-step explanation:

-1 7/9 =  -2 5/6 + 1/3 x

-16/9 = -17/6 + 1/3x      

-32/18 = -51/18 + 6/18 x                common  denominator

-32/18 + 51/18 = 6/18 x                    

    19/18  = 6/18 x

   19/18  ÷  6/18  = 6/18 ÷ 6/18 x       Divide by 6/18

    19/18 · 18/6   =  6/18 ·18/6 x

         19/6  =  x

          3 1/6 =  x