Question

five rational numbers between minus 5 by 6 and 7 by 8​

Answer 1

Step-by-step explanation:

-5/6 and 7/8

lcm of 6 and 8 = 24

(-5×4)/(6×4) and (7×3)/(8×3)

-20/24 and 21/24

-19/24, -18/24 , -17/24 , -16/24 , -15/24.............

Answer 2

Answer:

The required five rational numbers are found to be:

$-\frac{19}{24}, \frac{19}{24}, \frac{10}{24}, -\frac{10}{24}, -\frac{15}{24}$

Step-by-step explanation:

We are asked to find five rational numbers between the two rational numbers given to us as: $-\frac{5}{6}$ and $\frac{7}{8}$,

Now we can multiply both the numerator and denominator of the given rational numbers to get the LCM of the two denominators as the denominators of the rational numbers given to us.

Now, the LCM of 6 and 8 is found to be:

6 = 2 x 3

8 = 2 x 2 x 2

LCM = 2 x 2 x 2 x 3 = 24

Now, we can write the rational numbers as:

$-\frac{5}{6}\times \frac{4}{4} = \frac{20}{24}$

and

$\frac{7}{8}\times\frac{3}{3}=\frac{21}{24}$

Now, as one rational number obtained above is negative and the other is positive, we can easily find out the 5 rational numbers between the two, as it is clear that:

$-\frac{20}{24}, -\frac{19}{24}, -\frac{18}{24}, ..., 0, ..., \frac{19}{24}, \frac{20}{24}, \frac{21}{24}$

Thus, the five required rational numbers can be:

$-\frac{19}{24}, \frac{19}{24}, \frac{10}{24}, -\frac{10}{24}, -\frac{15}{24}$

#SPJ2