Question

a rational number between-2/3 and 1/2 is​

Answer 1

Answer:

rational number between-2/3 and 1/2.

-2/3=-2×4/3×4=-8/12.

1/2= 1×6/2×6=6/12.

therefore the rational numbers between-2/3 and 1/2.are.

-7/12,-6/12,-5/12,-4/12 and-3/12.

hope this helps you

Answer 2

Given: Two ratinal numbers $\frac{-2}{3}$ and $\frac{1}{2}$

To find: A rational number between the given numbers

Solution: The given numbers have different denominators. First we need to make their denominators same.

LCM of denominators 3 and 2 = 6. To convert these rational numbers with same denominator, we have:

⇒ $\frac{-2}{3} = \frac{-2}{3}$ × $\frac{2}{2} = \frac{-4}{6}$ and $\frac{1}{2} = \frac{1}{2}$ × $\frac{3}{3} = \frac{3}{6}$

We know that -3, -2, -1, 0, 1 and 2 are the integers between -4 and 3.

i.e. $\frac{-4}{6} < \frac{-3}{6} < \frac{-2}{6} < \frac{-1}{6} < 0 < \frac{1}{6} < \frac{2}{6} < \frac{3}{6}$

We can choose any one rational number.

Hence, a rational number between given numbers is $\frac{1}{6}$.