Question

find seven rational numbers between -7/9 and -1/3​

Answer 1

-7/9

-1*3/3*3=-3/9

-7*10/9*10=-70/90

-3*10/9*10=-30/90

So seven rational numbers are :-31/90,-32/90,-33/90,-34/90,-35/90,-36/90,-37/90

Like that you can take any number between -70/90 and -30/90

Answer 2

Write 7 rational numbers between -7/9 and -1/3

$\frac{-6}{9} , \frac{-5}{9} , \frac{-4}{9} , \frac{-1}{2} , \frac{-3}{5} , \frac{-2}{5} , \frac{-2}{3}$

Solution:

Given that,

We have to write 7 rational numbers between -7/9 and -1/3

Rational numbers: is a number that can be expressed as the fraction p/q of two integers

From given,

$\frac{-7}{9} \\\\\frac{-1}{3}$

First we make their denominator same,

$\frac{-7}{9} = - 0.778 \\\\\frac{-1}{3} = \frac{-1 \times 3}{3 \times 3 } = \frac{-3}{9} = -0.334$

Now, the seven rational number between $\frac{-7}{9} \text{ and } \frac{-3}{9}$ are:

$\frac{-6}{9} \\\\\frac{-5}{9} \\\\\frac{-4}{9}$

$\frac{-1}{2}$

$\frac{-3}{5}$

$\frac{-2}{5}$

$\frac{-2}{3}$

Thus the rational numbers are found

Learn more:

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