Question

Give any five rational numbers between -5/6 and 7/8

Answer 1

Answer:

The five rational numbers :-19/24,-17/24,1/24,5/24,7/24.

Answer 2

Given: Two rational numbers -    $\frac{-5}{6}$ and $\frac{7}{8}$

To find: Five rational numbers between the given numbers

Solution: According to the question,

Given rational numbers are $\frac{-5}{6}$ and $\frac{7}{8}$, which have different denominators.

First we need to convert these to rational numbers with same denominator.

L.C.M. of their denominator 6 and 8 = 24

$\frac{-5}{6} = \frac{-5}{6}$ × $\frac{4}{4} = \frac{-20}{24}$ and $\frac{7}{8} = \frac{7}{8}$ × $\frac{3}{3} = \frac{21}{24}$

Now, we know that -19, -18, -17, -16,....19, 20 are integers between -20 and 24.

i.e. -20 < -19 < -18 < ..... < 18 < 19 < 20 < 21

We can choose any five rational numbers.

Hence, five rational numbers between $\frac{-5}{6}$ and $\frac{7}{8}$ are $\frac{-18}{24}, \frac{-5}{24}, \frac{-1}{24}, \frac{5}{24} \ and \ \frac{18}{24}$