Question

find the rational no between -3/2, 2/3​

Answer 1

Answer:To find five rational numbers between \frac{-4}{5}and \frac{-2}{3} we will convert each rational numbers with the denominator as 5\times3 =15, we have  \left ( \because LCM\ of\ 5\ and\ 3 = 15 \right )

\frac{-4}{5} = \frac{-4\times3}{5\times3} = \frac{-12}{15}\ and\ \frac{-2}{3} = \frac{-2\times5}{3\times5} = \frac{-10}{15}

Since there is only one integer i.e., -11 between -12 and -10, we have to find equivalent rational numbers.

\frac{-12}{15} = \frac{-12\times3}{15\times3} = \frac{-36}{45}\ and\ \frac{-10}{15} = \frac{-10\times3}{15\times3} = \frac{-30}{45}

Now, we have five rational numbers possible:

\therefore \frac{-36}{45}<\frac{-35}{45}<\frac{-34}{45}<\frac{-33}{45}<\frac{-32}{45}<\frac{-31}{45}<\frac{-30}{45}

Hence, the required rational numbers are

\frac{-7}{9},\frac{-34}{45},\frac{-11}{15},\frac{-32}{45}\ and\ \frac{-31}{45}.

Step-by-step explanation:if you this question you can try this

Answer 2

Answer:

hellow,

-3/2, 2/3

step 1 - take LCM

so , -3/2 = -9/6 ,

2/3 = 4/6

step 2 - write any rational number between -9/6 and 4/6

Answer is

-8/6 , -7/6 , -6/6 , -5/6 , -4/6 , -3/6 , -2/6 , -1/6 , 1/6 , 2/6 , 3/6

write in your notebook how many mam said to write.

I hope this help you

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