Question

find five rational number between 3/5 and 4/7 . best answer go to the brainlist
its a easy question

Answer 1

Concept

In arithmetic rational numbers are the numbers that can be expressed in the form of p/q such that q ≠ 0.

Find

Five rational numbers between 3/5 and 4/7

Solution

Firstly we will make the denominators same of both the numbers

First  

= 3/5 * 7/7

= 21/35

Second

= 4/7 * 5/5

= 20/35

So now we have to find 5 rational numbers between 20/35 and 21/35

Lets multiply denominator and numerator of both the numbers by 6

First

= 21/35 * 6/6

= 126/210

Second

= 20/35 * 6/6

= 120/210

So now we need to find 5 rational numbers between 120/210 and 126/210 which are 121/210, 122/210, 123/210, 124/210, 125/210.

Five rational numbers between 3/5 and 4/7 are 121/210, 122/210, 123/210, 124/210, 125/210.

#SPJ2

Answer 2

Answer:

$\frac{121}{210}, \frac{122}{210},\frac{123}{210},\frac{124}{210} and \frac{125}{210}$ are the rational number between   $\frac{3}{5}$ and $\frac{4}{7}$

Step-by-step explanation:

Explanation:

Given that, $\frac{3}{5}$ and $\frac{4}{7}$ are two rational numbers.

Rational number - A rational number can be stated mathematically as the ratio or fraction $\frac{p}{q}$ of two numbers, where p and q are the numerator and denominator, respectively.

Step 1:

We have,  $\frac{3}{5}$ and $\frac{4}{7}$

So, the LCM of 7 and 5 = 35

Now, on multiplying the numerator and denominator   $\frac{3}{5}$ by 7 we get,

⇒ $\frac{3}{5}$ × $\frac{7}{7}$ = $\frac{21}{35}$

On multiplying the numerator and denominator  $\frac{4}{7}$ by 5 we get,

⇒ $\frac{4}{7}$ × $\frac{5}{5}$ = $\frac{20}{35}$

Now, on multiplying both numerator and denominator of $\frac{21}{35}$ and$\frac{20}{35}$ by 6.

⇒ $\frac{21}{35}$ × $\frac{6}{6}$ =  $\frac{126}{210}$  and   $\frac{20}{35}$ × $\frac{6}{6}$  = $\frac{120}{210}$

So, the rational number between  $\frac{126}{210} and \frac{120}{210}$ are $\frac{121}{210}, \frac{122}{210},\frac{123}{210},\frac{124}{210} and \frac{125}{210}$.

Final answer:

Hence,  $\frac{121}{210}, \frac{122}{210},\frac{123}{210},\frac{124}{210} and \frac{125}{210}$ are the rational number between   $\frac{3}{5}$ and $\frac{4}{7}$.

#SPJ2