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# If the numerator of a fraction is a prime number can the fraction be simplified and why?

Updated: 7/15/2023

Wiki User

6y ago

Yes!!! it can . provided the denominator is a multiple of the numerator. e.g. 3/9

'3' is a Prime number, but '9' is a multiple of '3', and so can be cancelled down to 3/9 = 1/3 .

However. is both the numerator and the denominator are prime numbers they cannot be canclled down. e.g. 3/7 or 3/11 or 7/11 et.seq.,

lenpollock

Lvl 15
10mo ago

Wiki User

6y ago

Sometimes it can. For example, 3/6 is a fraction with a prime numerator. The fraction can be simplified to 1/2.

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Q: If the numerator of a fraction is a prime number can the fraction be simplified and why?
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Related questions

### If the numerator of a fraction is a prime number can it be simplified?

Sometimes. 13 is a prime number. 13/26 can be simplified to 1/2. But 13/15 cannot be further simplified.

### Why or why not can a fraction be simplified if the numerator is a prime number?

"7" is a prime number. But you can simplify 7/14, 7/21,/7/28, and so on. Answer: If the denominator is also a multiple of the prime number, then the fraction can be simplified; otherwise, it cannot. To simplify any fraction, the numerator and denominator must have a factor in common, as in the examples above.

### Can you simplify a fraction that has a prime numerator?

It is possible. 3/15 has a prime numerator (3) but can be simplified to 1/5.

### Is a fraction that has been simplified to its smallest form?

A fraction in which the numerator and denominator are co-prime.

### How do you put a fraction in to simplest form?

You put a fraction in simplest form by dividing the numerator and denominator by their greatest common factor. If the either the numerator or denominator is a prime number, the fraction cannot be simplified.

### If the numerator of a fraction is a prime number can the fraction be simplified?

Equivalent fraction match * * * * * Yes, if the denominator is a multiple of the numerator. For example, 7/35 = 1/5

### Can 19 over 36 be simplified?

Since the numerator of the fraction 19/36 is prime, the fraction cannot be simplified any further.

### If the numerator of a fraction is a prime number can the fraction be simplied?

Yes, if the denominator is a multiple of the numerator. No, if not.

### Can fraction notation be simplified if the numerator and denominator are two different prime numbers?

No. To simplify a fraction the numerator and denominator must have a common factor greater than 1.

### What is 5 over 18 in its simplest form?

Since the numerator of the fraction is prime, the proper fraction 5/18 cannot be simplified any further.

### What the top of the number of a fraction?

The top number of a fraction is the numerator. The bottom number is the denominator. In the fraction 1/5, the number 1 is the numerator, and the number 5 is the denominator.

### What is the fraction for 0.0115?

0.0115 is equivalent to 115/10,000 This can be simplified to 23/2000 by dividing both the numerator and denominator by their common denominator of 5. This cannot be simplified further, as 23 is a prime number.