Question

find four rational numbers between -2/3and 3/2​

Answer 1

Answer:

Step-by-step explanation:

LCM of 2 and 3 is 6

-2/6×10/10 = -20/60

3/6×10/10= 30/60

Four rational numbers : 20/60 , 21/60, 22/60, 23/60

Answer 2

Four rational number between $-\frac{2}{3}$ and $\frac{3}{2}$  are $-\frac{1}{2}, -\frac{1}{3}, -\frac{1}{6}, \frac{1}{6}$.

Step-by-step explanation:

To find : Four rational numbers between  $-\frac{2}{3}$ and $\frac{3}{2}$ ?

Solution :

First we make the denominator same.

Multiply and divide $-\frac{2}{3}$  by 2,

$-\frac{2}{3}=-\frac{2}{3}\times \frac{2}{2}=-\frac{4}{6}$

Multiply and divide $\frac{3}{2}$  by 3,

$\frac{3}{2}=\frac{3}{2}\times \frac{3}{3}=\frac{9}{6}$

Now, the numbers between -4 and 9 are -3,-2,-1,1,2,3,4,5,6,7,8.

So, four rational number between $\frac{-4}{6}$ and $\frac{9}{6}$ are $-\frac{3}{6}, -\frac{2}{6}, -\frac{1}{6}, \frac{1}{6}$.

Four rational number between $-\frac{2}{3}$ and $\frac{3}{2}$  are $-\frac{1}{2}, -\frac{1}{3}, -\frac{1}{6}, \frac{1}{6}$.

#Learn more

Four rational number between -2 and 0.

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