Question

find 2 rational numbers between 3/5 and 5/7​

Answer 1

Step-by-step explanation:

denominators are different so make their denominators same.

$\frac{3}{5} \times \frac{7}{7} = \frac{21}{35} \\ \frac{5}{7} \times \frac{5}{5} = \frac{25}{35}$

so rational number between $\frac{3}{5}$ or $\frac{21}{35}$ and $\frac{5}{7}$ or $\frac{25}{35}$ are, $\frac{22}{35},\frac{23}{35},\frac{24}{35}$.

so pich any two between them.

Answer 2

Step-by-step explanation:

Given :-

Two rational numbers are 3/5 and 5/7

To find :-

Find two rational numbers between them ?

Solution :-

Method-1:-

Given two rational numbers are 3/5 and 5/7

3/5 = (3/5)×(7/7) = (3×7)/(5×7) = 21/35

5/7 = (5/7)×(5/5) = (5×5)/(7×5) = 25/35

The rational numbers are 22/35 , 23/35 and 24/35

Method-2:-

Given two rational numbers are 3/5 and 5/7

Required rational numbers = 2

We know that

By Mean method,

The rational number between 3/5 and 5/7

= [(3/5)+(5/7)]/2

LCM of 5 and 7 = 35

= [(21+25)/35]/2

= (46/35)/2

= 46/(35×2)

=46/70

= 23/35

The second rational number between 3/5 and 23/35

= [(3/5)+(23/35)]/2

= [(21+23)/35]/2

=> (44/35)/2

=> 44/(35×2)

=> 44/70

=> 22/35

3/5 < 22/35 < 23/35 <5/7

Answer:-

The two rational numbers are 22/35 and 23/25

Used Method:-

→ Mean Method

"The rational number between two numbers a and b is (a+b)/2