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Can you assume that any fraction is in the simplest form if either the numerator or the denominator is a prime number?
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∙ 7y ago
No.
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∙ 7y ago
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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.
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.
How do you convert a fraction to so they have a common denominator?
I assume you already know how to find the common denominator itself. Once you find the common denominator, you have to multiply top and bottom of each fraction by the same number, in such a way that the denominator is equal to the common denominator. For example: if you want to add 1/4 and 1/6, the common denominator is 12; to convert 1/4 to twelths, since you need to multiply the bottom part by 3 to convert it to 12, it follow that you multiply the top part by 3 as well - therefore, 1/4 = 3/12. Similarly, 1/6 = 2/12 (since you have to multiply the bottom by 2, you also multiply the top by 2).
What is 1.666666666667 in fraction form?
5/3.Since the 6 after the decimal point repeats (1.666666666667), you can assume that by multiplying by 3 you should get the number for the numerator.1.666666666667*3=5If you rewrite the above equation, you get1.666666666667=5/3
Can the graph of a rational function have more than one vertical asymptote?
Assume the rational function is in its simplest form (if not, simplify it). If the denominator is a quadratic or of a higher power then it can have more than one roots and each one of these roots will result in a vertical asymptote. So, the graph of a rational function will have as many vertical asymptotes as there are distinct roots in its denominator.
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.
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.
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.
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.
Can you assume that any fractionis is in its simplest form if either the numerator or the denominator is a prime number?
Not in all cases. Make sure that whichever one is not the prime number is not a multiple of the prime number.
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.
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 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.
How do you convert 7 over 13 into an improper fraction?
7/13 can't be converted into an improper fraction, since it's less than 1. Assume the given value is 7 1/3. This is in mixed number form. To convert it into improper fraction, you need to rewrite the term as the fraction of only numerator and denominator. For the numerator, multiply 7 by 3. Then, add that by 1. You should get: (7 * 3 + 1) / 3 = 22 / 3
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 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.
What is 64 12 as a fraction reduced?
I assume we are talking about 64/12. Since 4 divides both numbers, we can reduce the fraction to lowest terms before rewritting as a mixed number. Dividing numerator and denominator by 4 gives us 16/3. This improper fraction can be re-written as 5 1/3. This could be written as a repeating decimal: 5.3333....
