Question

please answer me please friends ​

Answer 1

I can't understand your handwriting

Answer 2

Answer:

Infinite

Step-by-step explanation:

I can give you many many fractions between 3/5 and 4/5. Why? Because there are infinite fractions between 3/5 and 4/5.

So, instead of giving you a readymade answer, let me give you a simple method, so that you may be able to come up with your own fractions between 3/5 and 4/5.

Select some large number. A large number would be different in different contexts, so you may come up with an LCM of the numbers involved in the fraction. In this case the numbers involved are 3, 5, 4 and 5. So let’s come up with the LCM of 3, 5, 4 and 5. The LCM is 60.

So, preferably the Number should be 60 or even more. Whether 60 would be sufficient or not, would depend upon how many fractions in between the given numbers are required. In the current scenario, multiplying by some smaller number would also do, but let’s go with 60.

Now you multiply both the numbers by 60 in the numerator and in the denominator.

Thus, the two fractions 3/5 and 4/5 translate into

3*60/5*60 i. e. 180 / 300 and

4*60/5*60 i. e. 240 / 300

Now, we have two fractions 180/300 and 240/300, which are same as 3/5 and 4/5 respectively, but whereas you can’t pick any integer between 3 and 4 (the numerators), now you can pick several integers between 180 and 240, to give you several fractions between 180/300 and 240/300 i. e. 3/5 and 4/5.

So several answers would be 182/300, 188/300, 192/300 and quite a few more.

When you have the multiple of 60, you can comfortably get 59 fractions in between. If you need more fractions to be inserted, multiply the numerator and denominator with still bigger number.

One important thing you must have observed here is that the denominators are same in case of 3/5 and 4/5.

What would you do if the fractions are 1/2 and 4/7?

You need to take the LCM of 2 and 7, which is 14. Then convert both the fractions into the same base fractions like 7/14 and 8/14. Now, you apply the procedure as described above and then choose as many in between fractions as you want!

hope it helps

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