LIST 5 RATIONAL NO BETWEEN -4/5 AND -2/3
Answers
Answer:
Given:
Two rational numbers -4/5 and 2/3.
To Find:
Any four rational numbers between the two mentioned rational numbers.
Solution:
The given problem can be solved using the concepts of LCM.
1. The given fractions are -4/5 and 2/3.
2. There are an infinite number of rational numbers between any two rational numbers.
3. Convert the fractions such that the denominators are equal,
=> (-4/5), (2/3),
=>\frac{-4 * 3}{5 * 3}
5∗3
−4∗3
,\frac{2*5}{3*5}
3∗5
2∗5
,
=> (-12/15), (10/15).
4. Since the denominators of the fractions are equal, any number lying between the two fractions is considered as the rational number between (-4/5) and (2/3).
5. Hence, the list of some of the fractions between (-12/15), (10/15) is,
=> -11/15, -10/15, -9/15, -8/15, -7/15, -6/15, -5/15, -4/15, -3/15, -2/15, -1/15, 0, 1/15, 2/15, 3/15, 4/15, 5/15, 6/15, 7/15, 8/15, 9/15.
Therefore, the fractions 2/15, 3/15, 4/15, 5/15 are some of the fractions which lie between the fractions (-4/5) and 2/3.
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