Question

find any 5 number between 1/4 and 2/4​

Answer 1

Answer:

Let’s use a simple method to find a rational number between ¼ and ½, then we’ll look at a more complicated method:

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The easiest (AVERAGE) method?

What is the average of your two numbers?

Add the numbers

¼ + ½ =  34  

Divide by two

34÷2=34×12=38  

This method will ALWAYS find a rational number between A and B as long as A and B are unique rational numbers

If all you want is ONE answer, you can STOP READING HERE.

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BUT we can find many more rational numbers between A and B. In fact, there are an infinite number of rational numbers between A and B; B>A.

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The Bigger COMMON DENOMINATOR Method

Find any common denominator for your two numbers that is BIGGER than either of the denominators you started with.

½ and ¼ have common factors of 4, 8, 12, 16, 20, etc.

Convert both numbers to that common denominator

Let’s convert both ¼ and ½ to hundredths:

14=25100  

12=50100  

I can quickly see 24 different rational numbers that are between  25100and50100  

for example,  37100