Question

Find 4 rational no's between 2/3 and 3/5
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Answer 1

Answer:

Here is your answer mate,,

Step-by-step explanation:

Lcm of 3,5 is 15

Method 1,

2/3 × (5/5) = 10/15 ×10/10

3/5× (3/3) =9/15 ×10/10

10/15×10/10=100/150

9/15*10/10=90/150

So,100/150=2/3

And 90/150=3/5

Numbers between 2/3 and 3/5 Are 91/100,92/100,93/100,94/100,95/100 etc..

Method 2

Number between

2/3 and 3/5

Is

$\frac{ \frac{2}{3} + \frac{3}{5} }{2}$

(do average)

So 10+9/15 ÷2

19/15 × 1/2

19/30

So 19/30 is exactly between 2/3 nd 3/5

Similarly do average to get number between 2/3 nd 19/30

$\frac{ \frac{19}{30} + \frac{2}{3} }{2}$

19+20/30 × 1/2

39/60

Do average between to get number between 19/30 nd 3/5

$\frac{ \frac{19}{30} + \frac{3}{5} }{2}$

(19+18)/30 × 1/2

37/60

Number line in the attachment ❤️

Have a good day ❤️