Question

list five rational numbers between 4/5 and 2/3​

Answer 1

Given

Rational Number 4/5 and 2/3

To Find

five rational number between 4/5 and 2/3

Now

For Finding five rational number between make denominator both number same

Multiple and Divide by 3  in 4/5 , we get

(4×3)/(5×3)

12/15

Multiple and Divide by 5 in 2/3 , we get

(2×5)/(3×5)

10/15

Now Multiply and divide by 3 on both number

12/15  and 10/15

(12×3)/(15×3) and (10×3)/(15×3)

30/45  and 36/45

Now Five rational number are

31/45,32/45,33/45,34/45,35/45

Answer 2

$\large{ \underline{ \bold{\underline{Question : - }}}}$

List five rational numbers between $\frac{4}{5} \: and \: \frac{2}{3}$

$\large{ \underline{ \underline{ \bold{Solution : - }}}}$

given rational numbers are

$\frac{4}{5}$and $\frac{2}{3}$

LCM of 3, 5 is 15.

$\frac{4}{5} = \frac{4 \times 3}{5 \times 3} = \frac{12}{15}$

$\frac{2}{3} = \frac{2 \times 5}{3 \times 5} = \frac{10}{15}$

$\frac{12}{15} \: and \: \frac{10}{15}$

Only Two rational number between

$\frac{12}{15} \: and \: \frac{10}{15}$

but we have to find five ration number .

$\frac{10}{15} = \frac{10 \times 3}{15 \times 3} = \frac{30}{45}$

$\frac{12}{15} = \frac{12\times 3}{15 \times 3} = \frac{36}{45}$

$\frac{30}{45} \: and \: \frac{36}{45}$

$\frac{31}{45} ,\frac{32}{45} ,\frac{33}{45} , \frac{34}{45},\frac{35}{45}$

$\large{ \underline{ \overline{ \boxed{ \red{ \bold{Thank \: You :)}}}}}}$