Find three rational number between -3/7 and -2/7​

-5/14, -11/28, -21/56

Step-by-step explanation:

Multiply the numerator and denominator by two, and split the difference of the numerator. Continue three times.

9514 1404 393

  -11/28, -5/14, -9/28

Step-by-step explanation:

If we express these fractions using a denominator of 28, then we are looking for three numbers between -12/28 and -8/28. We can use numerators of -11, -10, and -9 to give 3 evenly-spaced numbers in the desired interval.

One set of possibilities is ...

  -11/28

  -10/28 = -5/14

  -9/28

Additional comment

There are an infinite number of rational numbers between any pair of numbers. One way to look at this problem is using decimal equivalents.

  -3/7 ≈ -0.42857

  -2/7 ≈ -0.28571

So, we could use, for example, -0.2858, -0.2859, -0.286, -0.2861.

step-by-step explanation:

b

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b

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7

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14

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7

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14

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6

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step-by-step explanation: