Question

Find 25 rational numbers between 4/5 and 5/6

Answer 1

$\huge\underline {\sf {Answer:}}$

To Find :

• 25 rational numbers between $\dfrac {4}{5}$ and $\dfrac {5}{6}$

Solution :

As, to find rational numbers between any two numbers,

• Firstly make there denominators same.
• We have to multiple them by (n+1) number.
• Here , the value of n is the number of rational's to obtain.

Making the denominator same:

= $\dfrac {4}{5}$

= $\dfrac {24}{30}$

And

= $\dfrac {5}{6}$

= $\dfrac {25}{30}$

Now

According to the Question:

• We have to find 25 rational numbers so , we will multiple (25+1) to the numbers.

That is,

= $\dfrac {24}{30}$ × 26

= $\dfrac {624}{30}$

= $\dfrac {25}{30}$ × 26

= $\dfrac {650}{30}$

The 25 rational numbers between 4/5 and 5/6 are 625/30 , 626/30 , 627/30 , 628/30 , 629/30 , 630/30 , 631/30 , 632/30 , 633/30 , 634/30, 635/30 , 636/30 , 637/30 , 638/30 , 639/30 , 640/30 , 641/30 , 642/30 , 643/30 , 645/30 , 646/30 , 647/30 , 648/30 , 649/30

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