Question

Find two rational numbers between 2/3 and 3/4​

Answer 1

Step-by-step explanation:

2*3/3*4=8/12and 3*3/4*3= 9/12

now,

8*3/12*3= 24/36 and 9*3/12*3= 27/36

the two rational numbers are= 25/36 and 26/36

Answer 2

Answer :

We have to,

• Find two rational numbers between $\dfrac{2}{3}$ and $\dfrac{3}{4}$

Firstly,

• Let us first make the denominator same .

= $\dfrac{2}{3}$ ; $\dfrac{3}{4}$

= $\dfrac{2×4}{3×4}$ ; $\dfrac{3×3}{4×3}$

= $\dfrac{8}{12}$ ; $\dfrac{9}{12}$

Now,

• As we have to find two rational numbers we will multiply it with 3
• That is , ( n + 1) = (2 + 1) = 3

= $\dfrac{8×3}{12×3}$ ; $\dfrac{9×3}{12×3}$

= $\dfrac{24}{36}$ ; $\dfrac{27}{36}$

So,

• Write all the two numbers coming between these two rational numbers

= $\dfrac{27}{36}$ < $\dfrac{26}{36}$ < $\dfrac{25}{36}$ < $\dfrac{24}{36}$.

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