Question

find 5 rational no.between ⅗and4/7​

Answer 1

Step-by-step explanation:

3/5×7/7=21/35

4/7×5/5=20/35

21/35×6/6=126/210

20/35×6/6=120/210

5 rational no.between ⅗and4/7 are 121/210 , 122/210 , 123/210 , 124/210 , 125/210

Answer 2

Before, finding the answer. Let's find out how we can find the answer.

• First, we will convert the fractions to like fractions,i.e., fractions with the same denominator. For this, we will take LCM of the denominators and hence multiply the numerators and denominators accordingly."
• Then, we must multiply the number again with any number.
• Next, we can find the first 5 numbers which are occurring between the rational numbers.

___________________

Given :

• 3/5 and 4/7​

To find :

• rational numbers between 3/5 and 4/7​

Solution :

$\sf Converting = \dfrac{3 }{5} \: and \: \dfrac{4 }{7 }$

                $\sf = \dfrac{3 \times 7}{5 \times 7} \: and \: \dfrac{4 \times 5}{7 \times 5}$

                $\sf = \dfrac{21}{35} \: and \: \dfrac{20}{35}$

Since 5 rational numbers are not there between 21/35 and 20/35, we have to convert the number again. Let's multiply them by 10.

$\sf Converting = \dfrac{21}{35} \: and \: \dfrac{20}{35}$

                $\sf = \dfrac{21 \times 10}{ 35 \times 10} \: and \: \dfrac{20 \times 10}{ 35\times 10}$

                $\sf = \dfrac{210}{350} \: and \: \dfrac{200}{350}$

Now, 5 rational numbers between 210/350 and 200/350 :

$\sf \dashrightarrow \dfrac{201}{350} , \dfrac{202}{350} , \dfrac{203}{350}, \dfrac{204}{350}, \dfrac{205}{350}$