Question

find ten rational no between -3/4 and5/6

Answer 1

Hi there !!

Here's your answer

Given,
to find 10 rational numbers between -3/4 and 5/6

For this, we will first find the LCM in order to equate the denominator so as to find the numbers ,

Since we've to find '10' rational numbers , we will take a considerably large number to be able to multiply effectively
LCM in this case = 6 × 4 = 24
Let's suppose that the number is
So,


$\frac{ - 3}{4} \times \frac{6}{6} = \frac{ - 18}{24}$
and

$\frac{5}{6} \times \frac{4}{4} = \frac{20}{24}$

So, 10 rational numbers between -3/4 and 5/6 are



$\frac{ - 17}{24} \: \: \: \frac{ - 16}{24} \: \: \: \frac{ - 15}{24} \: \: \: \frac{ - 14}{24} \: \: \: \frac{ - 13}{24}$

$\frac{ - 12}{24} \: \: \: \frac{ - 11}{24} \: \: \frac{ - 10}{24} \: \: \: \frac{ - 9}{24} \: \: \: \frac{ - 8}{24}$



NOTE : you can take any number other than 4 by keeping in mind that it equates the denominator of both the numbers for example 36, it's 4 × 9 and 6 × 6

Answer 2

Answer:

1)At first we should take LCM of the denominators of 4 and 6.

2)The LCM of 4 and 6 is "12".

3)Now we have to multiply -3/4 × 6/6. = -18/24.

4) Now we have to multiply 5/6× 4/4. = 20/24.

The ten rational numbers between -3/4 and 5/6 are

(-17/24 , -13/24 , -10/24 , -8/24 , -6/24 , -4/24 ,

3/24 , 6/24 , 11/24 , and lastly 19/24.)

Finally we have solved our problem