ellasaylor
contestada

Please I really do need ur help. 4 5/9 is the same as the sum of 2 1/3 and 5/6 times a number.

What is the number?

Enter your answer as a mixed number in the simplest form in the box.

Respuesta :

The answer is 1 25/57.

Just set the question into an equation:
(2 1/3+ 5/6)x = 4 5/9
(Solve for x and you’ll get 1 25/57).
rspill6

Answer:  X =  2 2/3

Step-by-step explanation:

4 5/9 is the same as the sum of 2 1/3 and 5/6 times a number.

Let X be the "number."  Translate the sentence:

(4 5/9) = ((2 1/3) + (5/6))*X

"4 5/9 is the same":  (4 5/9) =

"as the sum of 2 1/3 and 5/6":  ((2 1/3) + (5/6))

"times a number": *X

Put them all together:

(4 5/9) = ((2 1/3) + (5/6))*X

(41/9)-(7/3) = (5/6)X

(41/9)-(21/9) = (5/6)X

(20/9) = (5/6)X

X = (20/9)*(6/5)

X = 120/45

X = 2 30/45 or 2 2/3

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