Question

Find three rational numbers lying between 3/5and 7/8 How many rational numbers can be determined between these two
numbers?
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Answer 1

Answer:

Step-by-step explanation:

ANSWER:-

Given:-

• Fractional Numbers
• 3/5 and 7/8

To find:-

• 3 Rational Numbers between the fractions stated above

Concept:-

Three methods to be used:-

1. Take LCM
2. Take successor of the number  of terms to be found
3. Find the answer

Let's solve!

LCM of 5 and 8 is 40. So,

$\dfrac{3}{5} \times \dfrac{8}{8} = \dfrac{24}{40}$

$\dfrac{7}{8} \times \dfrac{5}{5} = \dfrac{35}{40}$

We can now easily find the numbers ; So we need not use the successor path.

$\dfrac{25}{40} , \dfrac{26}{40} , \dfrac{27}{40}$

Reducing them,

$\dfrac{5}{8} , \dfrac{13}{20} , \dfrac{27}{40}$ are the required answer.

Never include the numbers already mentioned in the question.

Answer 2

Answer:

25/40 , 26/40 , 27/40, 28/40 , 29/40 , 30/40 , 31/40 , 32/40 , 33/40 , 34/40. The number system contains uncountable/infinite numbers. There are infinite numbers lying between all the no. Therefore, there can be infinity rational between the numbers 3/5 and 7/8.

Step-by-step explanation:

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