Question

Find the five rational number between 2,3and4/5

Answer 1

$<I >Hey here is your answer$

we have to find five rational number between 2/3 and 4/5

To find the solution of this question we have to same the denominator of both the fractions :-

Take LCM of both denominator
3 and 5
LCM of 3 and 5 = 15

Now take the fraction 2/3
multiply and divide by 5
$\frac{2}{3} \\ \\ \frac{2}{3} \times \frac{5}{5} \\ \\ \frac{10}{15}$

so, 2/3 = 10/15

Now take the fraction 4/5
multiply and divide by 3

$\frac{4}{5} \\ \\ \frac{4}{5} \times \frac{3}{3} \\ \\ \frac{12}{15}$

so, 4/5 = 12/15

Now, we have to find five rational number between 10/15 and 12/15

but here is only 1 fraction is found between these fractions

so, again we have to multiply and divide both the fractions by 6 :-

$\frac{10}{15} \\ \\ \frac{10}{15} \times \frac{6}{6} \\ \\ \frac{60}{90}$

now 12/15

$\frac{12}{15} \\ \\ \frac{12}{15} \times \frac{6}{6} \\ \\ \frac{72}{90}$

now, we have to find 5 rational numbers between 60/90 and 72/90 :-

rational numbers are ;

$<b >61/90 , 62/90 , 63/90 , 64/90 , 65/90 , 66/90 , 67/90 , 68/90 , 69/90 , 70/90 , 71/90 etc........$

hope this helps you

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