Question

fin the three rational numbers between 1/8 and 1/12​

Answer 1

Step-by-step explanation:

1/8 AND 1/12 LCM = 2 x 2 x 2 x 3 = 8 x 3 = 24

1/8 x 3/3 = 3/24

1/12 x 2/2 = 2/24

Here we see that we cannot find 3 numbers so we multiply it more

.

3/24 x 5/5 = 15/120

2/24 x 5/5 = 10/120

now we can find

10/120 , 11/120 ,12/120 , 13/120 , 15/120

Answer 2

At first we need to find the LCM of the denominators.

That is LCM of 8 and 12 is 24

Now we need to make the denominators of both 24.

Like

1/8×3/3=3/24

And

1/12×2/2=2/24

Now we get the two numbers with same denominators.

Then we can easily find out the three rational numbers between them as

At first we need to multiply 10/10 with the both.

So,we will get

2/24×10/10=20/240

And

3/24×10/10=30/240

And now the three rational numbers are

20/240 < 21/240 < 22/240 < 23/240 < 3/240

I hope you got your answer and got totally understood that.

THANK YOU.