All fractions are rational numbers because Irrational Numbers can't be expressed as fractions
Chat with our AI personalities
They are the numbers that can be expressed as fractions such as: 2.11, 2.12, 2,13 ... etc
Yes. The set of rational numbers is infinitely dense.If p/q and r/s are any two fractions then (p/q + r/s)/2 is a fraction which is between the two.
Yes. Take the average of the two numbers. Since those two numbers are rational, their average will also be rational.
To find a fraction between any two numbers, multiply the two numbers and divide by two. This way we can find unlimited numbers / fractions between any two fractions/numbers. The other way to find fractions between any two fractions is to divide and multiply both the numbers by 100, or 1000, and make the denominators same. Then the numbers between the two numerators gives all the numbers/fractions between those two numbers. For example, to find 100 fractions between 1 and 2, multiply and divide 1 and 2 by 100. This gives 100/100 and 200/100. Now the in between fractions are 101/100, 102/100, 103/100 upto 199/100. To find more, either multiply by 1000 instead of 100 to get 999 fractions. Or use any two numbers above and repeat the same process. To find fractions between 1.2 and 1.205, multiply and divide both numbers by 10000 This gives 12000/10000, 12050/10000. So the in between fractions are 12001/10000, 12002/10000 and so on till 12049/10000. Convert them to decimal.
There are an infinite number of rational numbers between any two rational numbers. And 2 and 7 are rational numbers. Here's an example. Take 2 and 7 and find the number halfway between them: (2 + 7)/2 = 9/2, which is rational. Then you can take 9/2 and 2 and find a rational number halfway: 2 + 9/2 = 13/2, then divide by 2 = 13/4. No matter how close the rational numbers become, you can add them together and divide by 2, and the new number will be rational, and be in between the other 2.