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Can you assume that any fractionis is in its simplest form if either the numerator or the denominator is a prime number?
Wiki User
∙ 9y ago
Not in all cases. Make sure that whichever one is not the prime number is not a multiple of the Prime number.
Wiki User
∙ 9y ago
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Can you assume that any fraction is in the simplest form if either the numerator or denominator is a prime number?
No. Both 5/10 and 10/5 are not in their simplest forms.
4 57 as an impropper fraction?
I assume that is 4 5/7. Here is how you do it.You multiply the whole number (in this case 4) by the denominator (in this case 7), and add the numerator (in this case 5). This will be the numerator of your improper fraction. The denominator doesn't change - in this case, it will still be 7.
How do you simplify 8 24?
To simplify a fraction, find the GCF of the numerator and denominator, then divide both by the GCF. I assume you typed in the fraction 8/24. The GCF of 8 and 24 is 8, and when both numerator and denominator are divided by 8, the result is the simplified fraction, 1/3.
Will a term in the denominator get cancelled if there is only one term in numerator?
I am going to assume you mean a polynomial numerator and a monomial denominator, such as the following example (ax + bd)/x In this example, if you want to retain a single fraction, nothing can cancel. However, the following expression is equal to the first ax/x + bd/x With which you can reduce, leaving a + bd/x Hope this helps!
How do you find when a ratio is equivalent?
I assume you are talking about equivalent *to another ratio*. Equivalence means that two (or more) things mean pretty much the same thing. For ratios to be equivalent, that would mean that when they are reduced (by factoring out any common multiples of the numerator [top part] and denominator [bottom part]) they become the same ratio. Case in point: 1/2 is equivalent to 2/4 (which is 1/2 when you factor out a 2 from the numerator and denominator.) 1/3 is equivalent to 3/9 (which is also 1/3 when you factor out the 3 from the numerator and denominator.)
Can you assume that any fraction is in the simplest form if either the numerator or the denominator is a prime number?
No.
Can you assume that any fraction is in the simplest form if either the numerator or denominator is a prime number?
No. Both 5/10 and 10/5 are not in their simplest forms.
What describes a fraction that has a variable or variable expression in its numerator its denominator or both?
There is no specific name. If the numerator and denominator are polynomials in the variable then the question describes an algebraic fraction. But there is no reason at all to assume that they are polynomials. There is no specific phrase that describes sin(x)/x, for example.
How do you simplify 8 24?
To simplify a fraction, find the GCF of the numerator and denominator, then divide both by the GCF. I assume you typed in the fraction 8/24. The GCF of 8 and 24 is 8, and when both numerator and denominator are divided by 8, the result is the simplified fraction, 1/3.
4 57 as an impropper fraction?
I assume that is 4 5/7. Here is how you do it.You multiply the whole number (in this case 4) by the denominator (in this case 7), and add the numerator (in this case 5). This will be the numerator of your improper fraction. The denominator doesn't change - in this case, it will still be 7.
How do you multiply numerators and denominators by the same number?
I assume you're talking about multiplying the numerator and denominator by the same number in the case that you're trying to give two fractions common denominators. If you're multiplying 1/4 and 3/8 you first have to make them have a common denominator. The lowest common denominator would be eighths so you would multiply both the numerator and denominator of 1/4 by 2, which gives you 2/8. Then you would proceed to multiply both fractions together, Numerator x Numerator and Denominator x Denominator. The end result of this would be 6/64 which can be reduced to 3/32.
Will a term in the denominator get cancelled if there is only one term in numerator?
I am going to assume you mean a polynomial numerator and a monomial denominator, such as the following example (ax + bd)/x In this example, if you want to retain a single fraction, nothing can cancel. However, the following expression is equal to the first ax/x + bd/x With which you can reduce, leaving a + bd/x Hope this helps!
How do you find when a ratio is equivalent?
I assume you are talking about equivalent *to another ratio*. Equivalence means that two (or more) things mean pretty much the same thing. For ratios to be equivalent, that would mean that when they are reduced (by factoring out any common multiples of the numerator [top part] and denominator [bottom part]) they become the same ratio. Case in point: 1/2 is equivalent to 2/4 (which is 1/2 when you factor out a 2 from the numerator and denominator.) 1/3 is equivalent to 3/9 (which is also 1/3 when you factor out the 3 from the numerator and denominator.)
How can you find the missing numerator with the same denominator?
I assume you want to convert two fractions to a common denominator. Let's see an example. You want to add, subtract, or compare 1/4 and 5/6. The least common denominator is 12 - I assume you already know how to find that. It need not be the least common denominator; any common denominator - for example, the product of the two denominators - will work. However, let's assume you want to convert to twelfths. To convert the fractions to twelfths, you do the following. To convert 1/4 to ?/12, note that the number 4 must be multiplied by 3 to get 12. In that case, the numerator, 1, must also be multiplied by 3. Thus, you get 3/12. Similarly, to convert 5/6 to ?/12, you need to multiply the bottom (and therefore also the top) by 2, so you get 10/12.
Can you assume that any fraction is in simplest form if either the numerator or denominator is a prime number?
No. Although one number is prime, the other number could still have room for the prime to fit in. Example: 11/22 can still be simplified even though 11 is a prime number. It can be divided by 11. The answer will be 1/2. Remember that a prime number can still be divided by itself.
How can you tell if a fraction is going to be a terminating or non terminating?
Here are two ways: 1) First reduce the fraction to lowest terms. That is, cancel out all common factors between the numerator and denominator. If the denominator has a prime factor other than 2 or 5, it will not terminate. Otherwise it will terminate. (If the denominator is 1, it will also terminate.) 2) Let's say the denominator is d and assume the numerator and denominator are integers. Start doing the division and carry it out to d places. If it hasn't terminated yet, it never will. For example, if you divide by 30, carry out the division to 30 decimal places. It will terminate by then if it is ever going to. Of course, reducing the fraction will minimize the number of decimal places that you need to calculate.
Is a fraction a rational or irrational number?
It depends on the fraction. For the following, assume the denominator is not zero, for if it is, then the fraction is undefined.If the numerator and denominator are both rational, then the fraction is rational.If one of them is rational and the other is irrational then (provided the numerator is not 0), the fraction is irrational.If both are irrational you need to simplify first and then apply one of the above two criteria.For example, sqrt(2)/sqrt(8) = sqrt(2/8) = sqrt(1/4) = ±1/2. So, irrational/irrationalcan be rational.
