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

User Kitwalker
by
4.2k points

2 Answers

4 votes

Answer:

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

Explanation:

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

User Fluidbyte
by
3.7k points
3 votes

9514 1404 393

Answer:

-11/28, -5/14, -9/28

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.

User Pavlovich
by
3.8k points