Question

find out two rational numbers between 1/5 and 3/7​

Answer 1

Answer:

hey mate

here's ur answer in the attachment

hope this helps you

Answer 2

Answer:

Two rational numbers between 1/5 and 3/7 are $\frac{8}{35} \: \: and \: \: \frac{13}{35}$

Step-by-step explanation:

Here given two fractions are $\frac{1}{5}$ and $\frac{3}{7}$

We want to find two rational number between given two rational numbers.

But question is what is rational number?

Any number that can be written as a fraction of two integers is called a rational number.

Here first we need to make denominator same of both fraction.

First we are taking the fraction $\frac{1}{5}$

We are multiplying denominator and

numerator by 7 and get

$\frac{1 \times 7}{5 \times 7} \\ = \frac{7}{35}$

Then we are taking the fraction $\frac{3}{7}$

We are multiplying denominator and numerator by 5 and get,

$\frac{3 \times 5}{7 \times 5} \\ = \frac{15}{35}$

Now, two rational numbers between

$\frac{7}{35}$ and $\frac{15}{35}$ are $\frac{8}{35} \: \: and \: \: \frac{13}{35}$

This is a problem of Algebra.

Some important Algebra formulas.

(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

a² − b² = (a + b)(a − b)

a² + b² = (a + b)² − 2ab

a² + b² = (a − b)² + 2ab

a³ − b³ = (a − b)(a² + ab + b²)

a³ + b³ = (a + b)(a² − ab + b²)

Know more about Algebra,

1) https://brainly.in/question/13024124

2) https://brainly.in/question/1169549