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Q: What can you conclude about rational numbers with denominators that are prime numbers?

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rational and prime numbers

There is no special hypothesis that you can come up with. You could, of course, hypothesize that they are special numbers. It is a hypothesis even if a rubbish one.

Yes. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

There are integers such as 0 and 1. Then there are non-integer rational and real numbers.

The concept of prime and composite numbers is relevant to integers. If the domain is extended to rational number (or further) then every number is divisible by any other non-zero number in the domain.

Related questions

Their denominators have prime factors of 2 or 5.

You cannot conclude anything.They need not be repeating decimals, they need not be in their simplest form.

All prime numbers are rational.

No.

Yes.

All prime numbers are integers. All integers are rational.

rational and prime numbers

29 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

All prime numbers are rational number because they can be expressed as 'top heavy' fractions as for example the prime number 3 as a fraction is 3/1

Yes, they're integers.

There is no special hypothesis that you can come up with. You could, of course, hypothesize that they are special numbers. It is a hypothesis even if a rubbish one.

Yes. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

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