Which number completes the inequality?
2/3 < < 7/9
3/5
6/9
3/4
6/7

  3/4

Step-by-step explanation:

It can be helpful to use a common denominator for comparison. That denominator can be 100, meaning we can make them all decimal fractions. Approximate (2 digit) values are good enough for the purpose.

  2/3 ≈ 0.67 . . . . left end of the range

  7/9 ≈ 0.78 . . . . right end of the range

  3/5 = 0.60

  6/9 ≈ 0.67 . . . . = 2/3, so is not greater than 2/3

  3/4 = 0.75

  6/7 ≈ 0.86

The only decimal value between 0.67 and 0.78 is 0.75, corresponding to the fraction 3/4.

  2/3 < 3/4 < 7/9

C. 3/4

Step-by-step explanation:

I took the quiz and got it right.

Hope this Helps!

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