Question

Find the 7 rational number between 3/9 and 2/14

Answer 1

Step-by-step explanation:

9 and 14 lcm are 126

3×9=27

9×14=126

2×9=18

14×9=126

7rational number

26/126,25/126,24/126,23/126,22/126,21/126,20/126

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Answer 2

$\huge\underline {\sf {Answer:}}$

To Find :

• 7 rational numbers between $\dfrac {3}{9}$ and $\dfrac {2}{14}$

Solution :

As, to find rational numbers between any two numbers,

• Firstly make there denominators same.
• We have to multiple them by (n+1) number.
• Here , the value of n is the number of rational's to obtain.

Making the denominator same:

= $\dfrac {3}{9}$

= $\dfrac {1}{2}$

= $\dfrac {7}{14}$

And

= $\dfrac {2}{14}$

= $\dfrac {1}{7}$

= $\dfrac {2}{14}$

Now

According to the Question:

• We have to find 7 rational numbers so , we will multiple (7+1) to the numbers.

That is,

= $\dfrac {7}{14}$ × 8

= $\dfrac {56}{14}$

= $\dfrac {2}{14}$ × 8

= $\dfrac {16}{14}$

The 7 rational numbers between 3/9 and 2/14 are 17/14 , 18/14, 19/14, 20/14, 21/14, 22/14, 23/14, 24/14.

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