Question

find four rational numbers between-1/2 and 1/3​

Answer 1

Question:

Find four rational numbers between -1/2 and 1/3.

Answer:

• Four rational numbers between 1/2 and 1/3 are 5/2 , 6/2 , 7/2 , 8/2.

Let's understand:

To find rational numbers between two rational numbers we need to add the two rational numbers which are given and then divide it by 2.

$\sf Ex - \dfrac{1}{1} , \dfrac{1}{2} \: are \: given.$

• Take LCM of denominators and add the fractions.
• Divide it by 2.

$: \implies \sf \dfrac{ \dfrac{1}{ 1} + \dfrac{1}{2} }{2} = \dfrac{2 + 1}{2} = \dfrac{3}{2}$

• To find 2nd rational number.

Use the fraction given and the answer obtained and follow the same steps to find more rational numbers between rational numbers.

Required Solution:

$\sf Given \: fractions -( \dfrac{ 1}{2}),( \dfrac{1}{3} )$

• First rational number:

1/2 and 1/3

$\sf = \dfrac{\dfrac{1}{2} + \dfrac{1}{3} }{2}$

$\sf = \dfrac{1 \times 3 + 1 \times 2}{2}$

$\sf = \dfrac{3 + 2}{2}$

$\sf = \dfrac{5}{2}$

Therefore , Four rational numbers between 1/2 and 1/3 are 5/2 , 6/2 , 7/2 , 8/2.

Answer 2

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Question

Find four rational numbers between-1/2 and 1/3.

Solution

Given:-

Rational number 1/2 and 1/3.

1/2 and 1/3

$\bf = \dfrac{\dfrac{1}{2} + \dfrac{1}{3} }{2}$

$\bf{ = \frac{1 \times 3 +1 \times 2 }{2} }$

$\bf{ = \frac{3 + 2}{2}}$

$\bf{ = \frac{5}{2} }$

Hence,four rational numbers between 1/2 and 1/3 are 5/2,6/2,7/2,8/2.

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More to know

What are rational numbers ?

A rational number is any number that can be expressed as a ratio of two integers.The set of rational numbers is called $\mathbb{Q}$.

For Example

10/2, 30/3, 100/5

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