Can 89/13 151/11 or 223/23 be simplified?
I think none of the 3 can be simplified
You are correct. None can be simplified.
They can all be simplified because their numerators are larger than their denominators. For example:
89/13 = 6 12/13
Check this site for more information.
http://www.helpwithfractions.com/simplifying-fractions.html
We'll be glad to check your answers for the other two improper fractions.
Ok I am confused I got two different answers on this.
I think we've stumbled over a difference of terminology. We usually think of simplifying fractions as simplifying proper fractions like 2/4 = 1/2. However, some texts and teachers also use the word "simplify" to mean changing an improper fraction to a mixed fraction, as I showed you.
Please check your math book or ask your teacher.
DrWLS has said that they cannot be simplified because all three of the denominators are prime numbers.
http://en.wikipedia.org/wiki/Prime_number
Ms. Sue is telling you how to turn each improper fraction into a mixed number, that is, dividing the numerator by the denominator so that you no longer have an improper fraction. But still, even after turning each one into a (proper) mixed number, the denominators of the fractions are the same as in the original numbers.
89/13 = 6 12/13
151/11 = 15 8/11
223/23 = 9 16/23
The fractions cannot be simplified.
By "simplified" I meant that the fractions do not have a common factor for numerator and denominator, and cannot be "reduced" to a smaler denominator. I expect that is also what YOU meant. They can of course be turned into mixed numbers, which is what MsSue is talking about. When this is done, the denominator must stay the same.
You are correct in thinking that none of the three fractions 89/13, 151/11, or 223/23 can be simplified. To determine if a fraction can be simplified, we need to check if the numerator (the number on top) and the denominator (the number on the bottom) have any common factors other than 1.
Let's start with 89/13:
To simplify this fraction, we need to check if there is any number that evenly divides both 89 and 13 (other than 1). However, we find that there are no common factors between 89 and 13, which means the fraction cannot be simplified.
Next, let's look at 151/11:
Again, we need to check if there exists a number that can divide both 151 and 11 evenly. After examining the two numbers, we find that there are no common factors other than 1. Hence, 151/11 cannot be simplified.
Lastly, let's consider 223/23:
Similarly, we check if there are any common factors that can divide both 223 and 23 evenly. After analyzing the numbers, we find that once again, there are no common factors besides 1. Consequently, 223/23 cannot be simplified either.
Therefore, you are correct in concluding that none of the three fractions 89/13, 151/11, or 223/23 can be simplified further.