2 2/3:0,24=1 7/9(х-0,06)

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To solve this equation, first divide 2 2/3 by 0.24:

2 2/3 ÷ 0.24 = (8/3) ÷ 0.24
Convert the mixed number to an improper fraction:
8/3 ÷ 0.24
Multiply the numerator by 100 to accommodate the division by 0.24:
(8 × 100) / (3 × 0.24) = 800 / 0.72 = 1111.11

Now, we have:
1 7/9(х - 0.06) = 1111.11

Now, we can solve for x by dividing both sides by 1 7/9 or 16/9:

By multiplying both sides by the reciprocal of 16/9 which is 9/16, we get:
(9/16) 1 7/9 (x - 0.06) = (9/16) 1111.11
x - 0.06 = 617.16

Add 0.06 to both sides to isolate x:
x = 617.16 + 0.06
x = 617.22

Therefore, x is equal to 617.22.