Question

Find 5 rational numbers between 3/7 and 4/9 Plzz Do Answer quickly

Answer 1

Answer:

here your answer

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MATHS NUMBER SYSTEM CLASS 9

Selvi T. asked • 07/02/18

insert 5 rational numbers between root 5/7 and 4/9

how to find rational numbers between root of 5 divided by 7 and 4 divided by 7

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1 Expert Answer

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Tracey M. answered • 07/02/18

TUTOR 4.8 (26)

BBA in Actuarial Science ,33+ years as math tutor, Assoc Sociey of Act

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Good morning Selvi,

Could you verify that the two values are √5/7 and 4/9. I don't think it makes sense any other way.

√5/7 < x < 4/9

square everything

5/49 < x2 < 16/81

get a common denominator for the endvalues so we can compare them

405/3969 < x2 < 784/3969

Choose 5 numbers between 405 and 784 that are perfect squares.

x2 = 441/3969, 484/3969, 529/3969, 576/3969, 625/3969

x = 21/63 ( which reduces to 1/3), 22/63, 23/63, 24/63, 65/63

These are 5 possible answers

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Answer 2

The correct answer is  $\frac{271}{630},\frac{272}{630}, \frac{273}{630},\frac{274}{630},\frac{275}{630}.$

Given: Range in which number are to be find, $\frac{3}{7}$ to $\frac{4}{9}$.

To Find: 5 rational numbers between $\frac{3}{7}$ and  $\frac{4}{9}$.

Solution:

So, we have to make the denominators of both the rational numbers same.

So, LCM of 7 and 9 is 63.

Now, to make denominator same we need to multiply both num and den by 9.

$\frac{3*9}{7*9} =\frac{27}{63}$

Now, to make denominator same we need to multiply both num and den by 7.

$\frac{4*7}{9*7} =\frac{28}{63}$

Now, between $\frac{27}{63}$ and $\frac{28}{63}$.

Now as between these both finding numbers is difficult so we will multiply both the fraction by 10. As after multiplying there will be no change in fractions.

$\frac{27*10}{63*10} =\frac{270}{630}$

$\frac{28*10}{63*10} =\frac{280}{630}$

Hence, we can clearly see that numbers between these two are:

$\frac{271}{630},\frac{272}{630}, \frac{273}{630},\frac{274}{630},\frac{275}{630}.$

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