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(7) 3x:5=6:6

(77) 3x:5=6:6 3 x: 5=6: 6

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Full solution

Q. (77) 3x:5=6:6 3 x: 5=6: 6
  1. Understand the problem: Understand the problem.\newlineWe are given a proportion 3x:5=6:63x:5 = 6:6 and we need to find the value of xx.
  2. Set up the proportion: Set up the proportion as an equation. 3x5=66\frac{3x}{5} = \frac{6}{6}
  3. Simplify the equation: Simplify the right side of the equation. 66\frac{6}{6} simplifies to 11. So, 3x5=1\frac{3x}{5} = 1
  4. Solve for x: Solve for x.\newlineTo find xx, we need to isolate it on one side of the equation. We can do this by multiplying both sides of the equation by 55.\newline(3x5)×5=1×5(\frac{3x}{5}) \times 5 = 1 \times 5
  5. Perform the multiplication: Perform the multiplication. 3x=53x = 5
  6. Divide to solve for xx: Divide both sides by 33 to solve for xx.x=53x = \frac{5}{3}

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