Question

Q. Find 5 rational numbers between 2/3 and 1/2.

Plz answer fast it's urgent .​

Answer 1

Answer:

2/3=20/30

1/2=10/20=15/30

5 rational numbers are therefore ,

12/30,13/30,14/30,15/30,16/30.

This can be written in the form

6/15,13/30,7/15,5/10,8/15.

Answer 2

Step-by-step explanation:

To find 5 rational numbers between 2/3 and 1/2, we can use the following steps:

Step 1: Find the LCM of the denominators of the two fractions, which is 6.

Step 2: Convert both fractions to have a denominator of 6, as follows:

2/3 = (2 x 2)/(3 x 2) = 4/6

1/2 = (1 x 3)/(2 x 3) = 3/6

Step 3: Now we need to find five rational numbers between 4/6 and 3/6. We can do this by adding a constant fraction to the smaller fraction and subtracting the same constant fraction from the larger fraction. The constant fraction should be chosen so that the resulting fractions have different numerators. For example:

• Add 1/12 to 4/6 and subtract 1/12 from 3/6 to get:

4/6 + 1/12 = 9/12

3/6 - 1/12 = 5/12

So the first rational number between 2/3 and 1/2 is 9/12, which simplifies to 3/4.

• Add 2/12 to 4/6 and subtract 2/12 from 3/6 to get:

4/6 + 2/12 = 10/12

3/6 - 2/12 = 4/12

So the second rational number between 2/3 and 1/2 is 10/12, which simplifies to 5/6.

• Add 3/12 to 4/6 and subtract 3/12 from 3/6 to get:

4/6 + 3/12 = 11/12

3/6 - 3/12 = 3/12

So the third rational number between 2/3 and 1/2 is 11/12.

• Add 4/12 to 4/6 and subtract 4/12 from 3/6 to get:

4/6 + 4/12 = 12/12

3/6 - 4/12 = 2/12

So the fourth rational number between 2/3 and 1/2 is 12/12, which simplifies to 1.

• Add 5/12 to 4/6 and subtract 5/12 from 3/6 to get:

4/6 + 5/12 = 13/12

3/6 - 5/12 = 1/12

So the fifth rational number between 2/3 and 1/2 is 13/12.

Therefore, the 5 rational numbers between 2/3 and 1/2 are 3/4, 5/6, 11/12, 1, and 13/12.