List four rational number between -1/2 & 7/13
Answers
Step-by-step explanation:
Take average of -7/13 & 8/13, to get a new rational number.
Take any two numbers from above three and find a new average. That is also a rational number.
Continue this process till it ends …
Will it ever end ?
=> There are infinite rational numbers between two rational numbers.
Answer:
The four rational numbers between -1/2 and 7/13 are -2/26, -1/26, 1/26, 2/26.
Step-by-step explanation:
The rational numbers -1/2 and 7/13
By taking L.C.M for 2 and 13 which is 26
so, -1/2 = (-1 × 13)/(2 × 13) = -13/26
7/13 = (7× 2)/(13 × 2) = 14/26
Now, we can insert any numbers between -13/26 and 14/26
That is,
-12/26, -11/26, -10/26, -9/26, -8/26, -7/26, -6/26, -5/26, -4/26, -3/26, -2/26, -1/26, 1/26, 2/26, 3/26, 4/26, 5/26, 6/26, 7/26, 8/26, 9/26, 10/26, 11/26, 12/26, 13/26.
Hence, the four rational numbers between -1/2 and 1/17 are
-2/26, -1/26, 1/26, 2/26.