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  1. To find 5 rational numbers between 1/6 and 2/5, we first convert them to have a common denominator. The least common multiple of 6 and 5 is 30, making the fractions 5/30 and 12/30. Since there is a sufficient gap between the numerators 5 and 12, we can directly choose five intermediate values. Thus,Read more

    To find 5 rational numbers between 1/6 and 2/5, we first convert them to have a common denominator. The least common multiple of 6 and 5 is 30, making the fractions 5/30 and 12/30. Since there is a sufficient gap between the numerators 5 and 12, we can directly choose five intermediate values. Thus, the five rational numbers are 6/30, 7/30, 8/30, 9/30, and 10/30.

     

    For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 3 The world of numbers (2026-27):

    https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-3/

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  2. To find 5 rational numbers between 2/5 and 3/5, we can scale up the fractions to have a larger common denominator. Multiplying the numerator and denominator of both fractions by 6 transforms them into 12/30 and 18/30. Now, we can easily select five consecutive numerators that lie between 12 and 18.Read more

    To find 5 rational numbers between 2/5 and 3/5, we can scale up the fractions to have a larger common denominator. Multiplying the numerator and denominator of both fractions by 6 transforms them into 12/30 and 18/30. Now, we can easily select five consecutive numerators that lie between 12 and 18. This gives the five required rational numbers: 13/30, 14/30, 15/30, 16/30, and 17/30.

     

    For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 3 The world of numbers (2026-27):

    https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-3/

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  3. To locate 6 rational numbers between the whole numbers 3 and 4, we rewrite them as equivalent fractions with a common denominator greater than 6, such as 7. This transforms 3 into 21/7 and 4 into 28/7. Now, we can choose any six consecutive fractional values that lie between these two new boundary pRead more

    To locate 6 rational numbers between the whole numbers 3 and 4, we rewrite them as equivalent fractions with a common denominator greater than 6, such as 7. This transforms 3 into 21/7 and 4 into 28/7. Now, we can choose any six consecutive fractional values that lie between these two new boundary points. The resulting six rational numbers are 22/7, 23/7, 24/7, 25/7, 26/7, and 27/7.

     

    For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 3 The world of numbers (2026-27):

    https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-3/

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  4. An alternative way to find a rational number between any two given numbers is by using the mean or midpoint method. You simply add the two rational numbers together and then divide their sum by 2. The resulting value is guaranteed to lie exactly halfway between them on a number line. Because rationaRead more

    An alternative way to find a rational number between any two given numbers is by using the mean or midpoint method. You simply add the two rational numbers together and then divide their sum by 2. The resulting value is guaranteed to lie exactly halfway between them on a number line. Because rational numbers are dense, you can repeat this averaging process indefinitely with any new endpoints to discover infinite intermediate rational numbers.

     

    For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 3 The world of numbers (2026-27):

    https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-3/

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  5. The given boundary values are 3.1415 and 3.1416. To find rational numbers situated between them, we can look at the next decimal place value by imagining the numbers as 3.14150 and 3.14160. By choosing terminating decimal values that fall strictly between these two new limits, we easily create validRead more

    The given boundary values are 3.1415 and 3.1416. To find rational numbers situated between them, we can look at the next decimal place value by imagining the numbers as 3.14150 and 3.14160. By choosing terminating decimal values that fall strictly between these two new limits, we easily create valid intermediate fractions. Three appropriate rational numbers that fit perfectly inside this specific numerical range are 3.14151, 3.14152, and 3.14153.

     

    For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 3 The world of numbers (2026-27):

    https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-3/

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