No. If there are larger common factors, use them instead. It will be much quicker. The most efficient is to use the highest common factor (HCF).
For example, to simplify 70/100
you could use the prime factors 2 and 5 to do
70/100 = 35/50 = 7/10
or
you could simply go for 10, as a common factor so that 70/100 = 7/10.
what is the ratio or prime numbers to composite numbers in this list/10,11,2,13,14,15,16,1,7,18,19,20,21
2:3
Prime numbers are: 2 3 5 7 Composite numbers are: 4 6 8 9 10 So the ratio is: 4 to 5
The numbers, when converted to integers are co-prime. So there is no simplification. The ratio is 1683 : 1978 : 2273.
4/4 = 1
what is the ratio or prime numbers to composite numbers in this list/10,11,2,13,14,15,16,1,7,18,19,20,21
The ratio of composite numbers 6,3,4,12,18 and 17 to prime numbers would be 9,15,21 and 25. This is taught in math.
The ratio of the number of one-digit prime numbers to the number of one-digit composite numbers is one to one. The one-digit prime numbers are 2, 3, 5, and 7. The one-digit composite numbers are 4, 6, 8, and 9. Therefor, the ratio is 4:4, which simplifies to 1:1.
2:3
Prime numbers are: 2 3 5 7 Composite numbers are: 4 6 8 9 10 So the ratio is: 4 to 5
It is 9419:7209 and, since the two numbers are co-prime, the ratio cannot be simplified.
When either of the numbers cannot be divided by each other or they are both prime numbers.
The numbers, when converted to integers are co-prime. So there is no simplification. The ratio is 1683 : 1978 : 2273.
There are four of each.
As N approaches infinity the ratio of squares less than N to numbers with 4 factors less than N approaches 0. This means that in the customary way of defining it, the ratio you're interested in is 0 (although that should be taken with a grain of salt - it certainly doesn't mean that there are 0 square numbers). The number of squares less than N is approximately √N. Rather than calculating the ratio we're interested in, we're going to calculate a calculate a ratio guaranteed to be greater: the ratio of squares to numbers that are twice a prime number (which are some, but not all, of the numbers with 4 factors). There are approximately N/ln N prime numbers less than N, by the prime number theorem. So there are N/(2 ln N/2) prime numbers less than N/2, which can be doubled to get a number less than N that's twice a prime number. The ratio is therefore √N(2 ln N/2)/N, which is O(ln N/√N). √N grows much faster than ln N, and in the limit this ratio will get close to zero. So the ratio we're actually interested in, which is even less than this ratio, will also approach zero.
4/4 = 1
Use a formula or algorithm for finding the greatest common factor. When in their simplest form, the numbers in a ratio have a GCF of 1. this is often easy to spot without formally checking; for instance, if any of the numbers are prime, then they are in their simplest ratio.