find five rational number between 3/5 and 4/5

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Ishan Goyal answered this

Hope this helps!

Cheers!

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Chhayank answered this

3/5

35/50

36/50

37/50

38/50

39/50

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Ishan Goyal answered this

Hi!

The given rational numbers are $rn rn \frac{rn}{rn 3 rn} rn rn rn rn and rn \frac{rn}{rn 4 rn} rn rn$ .

We know that, if a and b are two rational numbers, then $rn rn \frac{rn}{rn a rn + rn rn b rn} rn rn$ is a rational number between a and b .

Rational number between $rn rn \frac{rn}{rn 3 rn} rn rn rn rn and rn \frac{rn}{rn 4 rn} rn rn$ = $rn rn \frac{rn}{rn \frac{rn}{rn 3 rn} rn + rn \frac{rn}{rn 4 rn} rn} rn = rn \frac{rn}{rn rn (rn \frac{rn}{rn 3 rn + rn 4 rn} rn) rn rn} rn = rn \frac{rn}{rn 7 rn} rn rn$

$rn rn \frac{rn}{rn 7 rn} rn rn$ lies between $rn rn \frac{rn}{rn 3 rn} rn rn rn rn and rn \frac{rn}{rn 4 rn} rn rn$ i.e., $rn rn \frac{rn}{rn 3 rn} rn < rn \frac{rn}{rn 7 rn} rn < rn \frac{rn}{rn 4 rn} rn rn$

Rational number between $rn rn \frac{rn}{rn 3 rn} rn rn rn rn and rn \frac{rn}{rn 7 rn} rn = rn \frac{rn}{rn \frac{rn}{rn 3 rn} rn + rn \frac{rn}{rn 7 rn} rn} rn = rn \frac{rn}{rn rn (rn \frac{rn}{rn 6 rn + rn 7 rn} rn) rn rn} rn = rn \frac{rn}{rn 13 rn} rn rn$

Rational number between $rn rn \frac{rn}{rn 7 rn} rn and � rn \frac{rn}{rn 4 rn} rn = rn \frac{rn}{rn \frac{rn}{rn 7 rn} rn + rn \frac{rn}{rn 4 rn} rn} rn = rn \frac{rn}{rn \frac{rn}{rn 7 rn + rn 8 rn} rn} rn = rn \frac{rn}{rn 15 rn} rn rn$

$rn rn ∴ rn \frac{rn}{rn 3 rn} rn < rn \frac{rn}{rn 13 rn} rn < rn \frac{rn}{rn 7 rn} rn < rn \frac{rn}{rn 15 rn} rn < rn \frac{rn}{rn 4 rn} rn rn$

Rational number between $rn rn \frac{rn}{rn 3 rn} rn rn rn rn and rn \frac{rn}{rn 13 rn} rn = rn \frac{rn}{rn \frac{rn}{rn 3 rn} rn + rn \frac{rn}{rn 13 rn} rn} rn = rn \frac{rn}{rn \frac{rn}{rn 12 rn + rn 13 rn} rn} rn = rn \frac{rn}{rn 15 rn} rn rn$

Rational number between $rn rn \frac{rn}{rn 15 rn} rn rn rn rn and rn \frac{rn}{rn 4 rn} rn = rn \frac{rn}{rn \frac{rn}{rn 15 rn} rn + rn \frac{rn}{rn 4 rn} rn} rn = rn \frac{rn}{rn \frac{rn}{rn 15 rn + rn 16 rn} rn} rn = rn \frac{rn}{rn 31 rn} rn rn$

$rn rn ∴ rn \frac{rn}{rn 3 rn} rn < rn \frac{rn}{rn 15 rn} rn < rn \frac{rn}{rn 13 rn} rn < rn \frac{rn}{rn 7 rn} rn < rn \frac{rn}{rn 15 rn} rn < rn \frac{rn}{rn 31 rn} rn < rn \frac{rn}{rn 4 rn} rn rn$

Thus, five rational numbers between $rn rn \frac{rn}{rn 3 rn} rn rn rn rn rn and rn \frac{rn}{rn 4 rn} rn rn$ are $rn rn \frac{rn}{rn 15 rn} rn, rn \frac{rn}{rn 13 rn} rn, rn \frac{rn}{rn 7 rn} rn, rn \frac{rn}{rn 15 rn} rn rn rn rn and rn \frac{rn}{rn 31 rn} rn rn$ .

Cheers!

ishani.boghara... answered this

dude u can even do the following method

u want five rational no. then plus 1 to 5 n u will get 6

35*6=1830 n 45*6=2430

write down the numbers between 1830 to 2430

Nakul Sharma answered this

3/5+4/5/-

so we take lcm of 5, that is 5 only &then we are ale to solve the question

-3

Smridhi Jain answered this

THERE IS ANOTHER MORE SIMPLE WAY ALSO

MULTIPLY 3|5 AND 4|5 WITH 6 AND YOU WILL GET YOUR ANSWER

Shomnaath Somalinga answered this

write any 5 rational nos between 3/5 and 4/7

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Divyanshu Singh answered this

The given rational numbers are .

We know that, if a and b are two rational numbers, then is a rational number between a and b .

Rational number between =

lies between i.e.,

Rational number between

Thus, five rational numbers between are .