Question

find two irrational number between 5/7 and 7/8​

Answer 1

Step-by-step explanation:

lcm of 7&8 is 56

5/7×8/8=40/56

7/8×7/7=49/56

there fore two rational number between 5/7&7/8 are 41/56&42/56

Answer 2

Answer:

$\frac{43}{56}$ and $\frac{44}{56}$ are two irrational numbers that lie between  $\frac{5}{7}$ and $\frac{7}{8}$

Step-by-step explanation:

Given:

First rational number = $\frac{5}{7}$

Second rational number = $\frac{7}{8}$

To find:

Two irrational numbers between the given numbers

Method:

To find irrational numbers, first of all, we make the denominators equal.

=> $\frac{5}{7}$ =  $\frac{5*8}{7*8}$ =  $\frac{40}{56}$

and  $\frac{7}{8}$ =  $\frac{7*7}{8*7}$ =  $\frac{49}{56}$

We need to find irrational numbers, that means recurring fractions between  $\frac{40}{56}$ and  $\frac{49}{56}$

We can calculate that  $\frac{43}{56}$ = $0.767\overline{857142}$

and $\frac{44}{56}$ = $0.7\overline{857142}$

Therefore,  $\frac{43}{56}$ and $\frac{44}{56}$ are two irrational numbers that lie between  $\frac{5}{7}$ and $\frac{7}{8}$