Question

find three rational numbers between 5/7 and 9/11.with the calculation also

Answer 1

5/7 and 9/11

LCM OF 7 AND 11=7*11=77

5/7*11/11=55/77
9/11*7/7=63/77

55/77<56/77<57/77<58/77<60/77<62/77<63/77
                          or
5/11<56/77<57/77<58/77<60/77<62/77<9/11

Answer 2

Answer:

The three different rational numbers that lies between the rational numbers 5/7 and 9/11 are: 0.727227222…, 0.757557555…… and 0.808008000

Step-by-step explanation:

Step : 1 Let us find the decimal expansion of 5/7 and 9/11 using long division method.

5 / 7=0 $. \overline{714285}$

9 / 11=0 $. \overline{81}$

We can write 3 irrational numbers between 5/11 and 9/11 or 0.714285 and 0.81 are as follows:

(i) 0.721722172221 . . .

(ii) 0.750975009750009 . . .

(iii) 0.808008000 . . .

Step : 2  $\frac{5}{7} \text { and } \frac{9}{11}, \mathrm$  LCM of   $\text (7,11) \text { is } 77$

$\frac{5}{7} \times \frac{11}{11}=\frac{55}{77}$  so, three number between

$\begin{aligned}& \frac{55}{77}+\frac{63}{77} \\& \frac{9}{11} \times \frac{7}{7}=\frac{63}{77} \\& \frac{56}{77} \frac{57}{77} \frac{58}{77}\end{aligned}$

Step : 3  A rational number is one that can be written as P/Q, where P and Q are both integers and Q is greater than zero. However, an irrational number cannot be expressed using straightforward fractions. An illustration of a rational number is 23, whereas an irrational number is 2.

Step : 4 To answer a rational equation, follow these steps:

Discover the common factor.

Divide everything by the lowest common factor.

Simplify.

Verify the response(s) to verify sure there isn't a redundant response.

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