we know that 11/15,12/15,13/15and 16/15 are all rational number.find the rational number which lies between 5/6 and11/12.
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If you're given 3/4 and 1/3, convert them to 9/12 and 4/12.
It should be obvious that the following fractions lie between 4/12 and 9/12:
5/12
6/12 = 1/2
7/12
8/12 = 2/3
If the distance between them isn't big enough, you can always increase the denominator:
Suppose you're asked to find 3 rational numbers between 1/2 and 2/3.
Convert 1/2 and 2/3 to 3/6 and 4/6. Oops! Not enough room.
Convert them to 4/12 and 8/12. Now you've got:
5/12
6/12 = 1/2
7/12
For decimal numbers, it really couldn't be easier. Any terminating decimal is rational so just list decimals between the two numbers:
It should be obvious that the following fractions lie between 4/12 and 9/12:
5/12
6/12 = 1/2
7/12
8/12 = 2/3
If the distance between them isn't big enough, you can always increase the denominator:
Suppose you're asked to find 3 rational numbers between 1/2 and 2/3.
Convert 1/2 and 2/3 to 3/6 and 4/6. Oops! Not enough room.
Convert them to 4/12 and 8/12. Now you've got:
5/12
6/12 = 1/2
7/12
For decimal numbers, it really couldn't be easier. Any terminating decimal is rational so just list decimals between the two numbers:
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