Question

Find five irrational numbers between 3/7 and 5/7

Answer 1

Answer:

$\frac{22}{49} , \frac{23}{49}, \frac{24}{49 } , \frac{25}{49} and \frac{26}{49}$ are their rational number between $\frac{3}{7}$ and $\frac{5}{7}$.

Step-by-step explanation:

Explanation:

Given that, $\frac{3}{7}$ and $\frac{5}{7}$

Irrational number - A real number that cannot be expressed as a straightforward fraction is referred to as an irrational number. It cannot be described using a ratio.

When p and q are integers and q is not equal to 0, N is not equal  $\frac{p}{q}$if N is irrational.

Step 1:

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

Now we multiply both denominator and numerator by 7.

⇒ $\frac{3}{7}$ ×$\frac{7}{7}$ = $\frac{21}{49}$ and $\frac{5}{7}$ × $\frac{7}{7}$ = $\frac{35}{49}$

A rational number between $\frac{21}{49}$ and $\frac{35}{49}$ are, $\frac{22}{49} , \frac{23}{49}, \frac{24}{49 } , \frac{25}{49} , \frac{26}{49}$,

Final answer:

Hence, $\frac{22}{49} , \frac{23}{49}, \frac{24}{49 } , \frac{25}{49} and \frac{26}{49}$ are their rational number between $\frac{3}{7}$ and $\frac{5}{7}$.

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