Question

Show the relationship between -5/6 and -7/10. Use an inequality symbol [repost]

Answer 1

The rational numbers - 5 / 6 and - 7 / 10 are equivalent to - 25 / 30 and - 21 / 30, respectively. Then, the relationship is that - 5 / 6 is the less than - 7 / 10 as - 25 < - 21.

What is the relationship between two rational numbers?

Rational numbers are real numbers of the form m / n, where m and n are integers and n is not zero. In this problem we need to determine the relationship between two rational numbers, this can be done by amplifying the two rational numbers to a form with the same denominator and then compare the two numerators.

First, find the least common multiple of the two denominators:

6 = 2 × 3

10 = 2 × 5

L.C.M. = 2 × 3 × 5 = 30

Second, amplify each rational number:

- (5 × 5) / (6 × 5) = - 25 / 30

- (7 × 3) / (10 × 3) = - 21 / 30

Third, compare the numerators of the fraction found in the previous step:

Since - 25 < - 21, then - 5 / 6 < - 7 / 10.

To learn more on rational numbers: brainly.com/question/17450097

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