Question

find three rational number between 2/3 and 4/5​

Answer 1

Answer:

It differs ( According to your choice )

Step-by-step explanation:

First, we have to find the LCM (Lowest Common Factor0 as the denominators are not the same so -

2/3 and 4/5

We have to find a number that is in the table of three and five so we will get 15 (3 x 5 = 15)

Then we should convert the denominators into 15...how?

2/3 : numerator = 2 x 5 answer 10

       denominator = 3 x 5 answer 15

So 2/3 will become 10/15

Same thing we will do to 4/5

4/5 : numerator = 4 x 3 answer 12

       denominator = 5 x 3 answer 15

So 4/5 will become 12/15

Now we see that between 10 and 12 there is only 11 so we need to make the denominator higher so..

this number will be higher so lets take 60

2/3 : numerator 2 x 20 = 40

       denominator 3 x 20 = 60

So 2/3 will become 40/60

4/5 : numerator 4 x 12 = 48

       denominator 5 x 12 = 60

So 4/5 will become 48/60

Now you can choose any number between 48/60 to 40/60

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