220,735 views
40 votes
40 votes
Find 5 rational number between 2/-7 and 5/6​

User CrowbarKZ
by
3.1k points

1 Answer

22 votes
22 votes

Answer:

-11/42, -10/42, 10/42, 11/42, 12/42

Explanation:

First of let's find the LCM of the denominators.

LCM of 6 and 7 is 42

Thus, -2/7 can also be expressed in terms of 42 as denominator as; -12/42

Similarly, 5/6 can also be expressed in terms of 42 as denominator as; 35/42

Thus, any five rational numbers could come in the form of the numerator being between -12 to 35 with the denominator being 42.

Thus, five rational numbers between -2/7 and 5/6 are;

-11/42, -10/42, 10/42, 11/42, 12/42

User Sanke
by
2.8k points