What fraction comes in between 1/3 and 1/2?

Question

im helpin my brother wit his science project

Answer 1

There are actually an infinite number of fractions that could come between them. Some examples are 5/12, 9/24, 11/24, 37/100, 41/100, ....

Answer 2

If you can believe it, there are an infinite number of fractions between 1/3 and 1/2.

A simple answer is 5/12, which is more than 1/3 and less than 1/2. Or you can look at it this way: 1/3=4/12, then there's 5/12, and then 1/2=6/12. 1 is half of two (1/2) and 6 is half of twelve 6/12), so these two fractions are equal to each other. And so on and so forth. Now, you can't reduce 5/12 any further, which is why you have to use 12 as the lowest common denominator (LCD) in order to arrive at this answer.

To make the solution to this problem easily understandable, just change the fractions so their lower numbers are equal:

1/3=2/6 and 1/2=3/6 right????? Right.

Work with me now. Now, just add zeros to 2/6 and 3/6 like this:

1/3 = 200/600 and 1/2 = 300/600

OK, now, look at these 2 fractions. There are 99 fractions between them, or:

201/600 to 299/600

And there's a simple answer to your question. But you could just keep adding zeros forever, theoretically. This makes the answer infinite. There are an infinite number of fractions in between 1/3 and 1/2. Or, 1000000/2000000 and 1000000/3000000, if it helps to look at it like that. And so on and so forth.

For a simple fraction, just take 250/600 (that's said, "two hundred and fifty, six hundredths").

250/600 = 5/12

That's solved by dividing both the top number, 250, and the lower number, 600, by 50. See???

Answer 3

There is an infinite number of fractions between those two fractions, but I'm guessing that's not the answer you're looking for. To find some of the more simple fractions, draw 6-8 short line segments all lined up one above the other (approximately 2 inches long works well). Each will represent the space between 0 and 1, which is where the basic fractions "reside." Divide the first of your segments into two parts to see the halves, the second into three parts to see the thirds, the third into four parts to see the fourths, and so on. (You need to have a pretty good eye for creating EQUAL sections for this to work! Fractions with even-numbered denominators are easier to draw, since you can start by dividing the segment in half.) By lining up the marks you've made, you'll be able to find some fractions between 1/3 and 1/2--and see how different fractions relate to each other. By the way, if you have any trouble numbering your divisions, it goes like this: for example, when you see the four sections of your fourths, they count off as 1/4, 2/4, and 3/4 going left to right. 0 will always be at the left end and 1 (or in this case, 4/4!) will be at the right end. Give it a try! And perhaps once you've done this, you can begin to see how if you had a fine enough pencil, you could continue creating sets of fractions--or divisions of the 0-to-1 segment (the unit)--on up into the millions and beyond.

Answer 4

Infinitely many fractions between 1/3 and 1/2.
1/3 =10/30 and 15/30.
Some examples:
Between them you find 11/30, 12/30 = 2/5, 13/30 and 14/30 = 7/15.

The average (not specially asked) of 1/3 and 1/2 equals
{1/3 + 1/2} / 2 = {2/6 + 3/6} / 2 = {5/6} / 2 = 5/12

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Answer 5

1/2 >?>1/3= 1/3 - 1/2= 1/6

Answer 6

5/12 is halfway between them.

Write 1/3 as 4/12
Write 1/2 as 6/12

Between the two comes 5/12.

To find the fraction exactly halfway between any two differing fractions, add them together and divide by 2.

Hope that helps ;)

Answer 7

add the fractions and u divide by 2 and you will get accurate answer


(1/3 + 1/2) / 2 = (2/6 + 3/6) / 2 = (5/6) / 2 = 5/12

Answer 8

5/12

Answer 9

There are an infinite number. You could write 1/2 as 1000/2000, and 1/3 as 1000/3000. So 1000/2001, 1000/2002, 1000/2003....would all be between 1000/2000 and 1000/3000. Now write 1/2 as 1,000,000,.../2,000,000... and 1/3 as 1,000,000.../3,000,000... You can keep adding zeroes and finding lots more numbers in between. The answer will be limited to the largest number there is, which is infinity.

Answer 10

bypass to the kitchen and discover both nested measuring cups or a huge glass or plastic measuring cup that has a line of diverse volumes listed on the aspect. a million/2 cup, a million/3 cup and a million/4 cup ought to all be there for you to judge. you'll see how a million/3 is between a million/2 and a million/4. through the way, how are you going to be a million/3 Italian? Do you've 3 mom and father? -- Regards, John Popelish