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That's exactly the result when the numerator and denominator

of the fraction are both multiplied by the same number.

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Q: How can both the numerator and denominator of a fraction increase and yet the fraction names the same amount?
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A fraction in which the numerator and denominator represent the same amount but are in different units?

What is a fraction in which the numerator and denominator represent the same amount but are in different units?


What part of a fraction that represents the amount of pieces the make up a whole?

I am pretty sure its the numerator, but it could be the denominator.


Why can you multiply a fraction by another fraction that has the same numerator and denominator and get a fraction that names the same amount as the original fraction?

You cannot because it is not true - unless the fraction is 0/n (for any n) or n/n = 1.


What is a fraction equal to 1 half that has a denominator of 6?

When converting fractions to equivalent fractions, it must be remembered that you always multiply the numerator and denominator by the same amount. In this case, the denominator is 2 and we want it to be 6. Therefore we have to multiply top and bottom of the fraction by 3. Do this and we get 3/6. Thus the fraction equal to 1/2 with a denominator of 6 is 3/6.


What is three and three fourths plus two and seven twenty eighths equal?

The answer is 6. Here's how to determine that: 1. Start with the original fractions of 3 3/4 + 2 7/28 2. Obtain a common denominator so they can be added together. To do that, multiply the numerator of the fraction with the smallest denominator by the same value it takes to increase the denominator to the same value as the other denominator. In english: in the fraction 3/4, "3" is the numerator and "4" is the denominator. We have to get the "4" to match the larger denominator ("28") of the 7/28 fraction. To do that, look at both denominators ("4" and "28") and determine if the smaller denominator ("4") can be multipled to equal the larger denominator ("28"). Since we know that multiplying 4 by 7 equals 28, we know that we can make the denominators equal by multiplying the 3/4 fraction by 7. So, doing so, we then have a fraction that is 21/28. Both numbers in the fraction are multipled by the same amount. 3. So, now you have 3 and 21/28 + 2 and 7/28. 4. Add the fractions (21/28 and 7/28) together, which gives you 28/28. Since the result is a whole number (a fraction with matching numerator and denominator), we no longer need to write it as a separate fraction. Therefore, the new formula looks like this: 3+2+1 (the 1 was originally 28/28). Added together, the result is 6.

Related questions

What do you do to the numerator in a lowest common denominator problem?

Multiply the numerator of the fraction by the same amount that you multiply the denominator of that fraction.


A fraction in which the numerator and denominator represent the same amount but are in different units?

What is a fraction in which the numerator and denominator represent the same amount but are in different units?


What is the term for the part of the fraction that names the amount of parts being counted?

The number of parts being counted is the numerator of a fraction The number of parts into which the whole has been divided is the denominator of a fraction.


What happens to the fraction if the denominator and numerator are increased by the same amount?

Assuming a proper fraction which is positive (value between 0 and 1), it increases; asymptotically tending to 1 as the amounts that you increase by become larger. If it is negative you must select a negative numerator and a positive denominator. Then it behaves as above. Otherwise you could hit division by 0.


What part of a fraction represents the amount of pieces that make up a whole?

It's the denominator I think, but it could be the numerator


What part of a fraction that represents the amount of pieces the make up a whole?

I am pretty sure its the numerator, but it could be the denominator.


Why can you multiply a fraction by another fraction that has the same numerator and denominator and get a fraction that names the same amount as the original fraction?

You cannot because it is not true - unless the fraction is 0/n (for any n) or n/n = 1.


What is the difference between a simplified fraction and an equivalent fraction?

A simplified fraction would be like 1/2. You can't reduce it any more. The only common factor between numerator and denominator is the number one (1). This is one use for finding the Greatest Common Factor between two numbers. Once you find the GCF, just divide the Numerator by GCF, and divide the Denominator by GCF and you have an equivalent fraction which has been reduced to the simplest form.An equivalent fraction is like 3/4 and 6/8. It's the same amount, therefore equal, which is where the name equivalent comes in.An equivalent fraction is a different representation of the simplest form. The numerator and the denominator of the equivalent fraction are multiples of the numerator and the denominator of the simplest form.


Why can't a denominator of a fraction be zero?

To understand this, look at what happens as the denominator approaches zero. Remember that you can always multiply the numerator and denominator by the same amount (which is equivalent to multiplying the entire fraction by 1):1/1 = 11/.1 = (1x10)/(.1x10) = 10/1 = 101/.01 = (1x100)/(.01x100) = 100/1 = 1001/.001 = (1x1000)/(.001x1000) = 1000/1 = 1000Notice that as the denominator gets smaller, the value of the fraction gets larger. As the denominator goes to zero, the numerator becomes infinitely large. Many people either have no use for, or are uncomfortable with, the concept of infinity, so they say that a fraction with zero in the denominator is undefined.Now consider that the numerator and denominator are both algebraic functions, rather than numeric values; for example let the numerator be (4 - z2) and the denominator be (2z - 4). When z = 2, the numerator and denominator both evaluate to zero - but in this case the fraction may still be defined - it depends on which function approaches zero faster - calculus gives us the tools to determine that.


What is a fraction equal to 1 half that has a denominator of 6?

When converting fractions to equivalent fractions, it must be remembered that you always multiply the numerator and denominator by the same amount. In this case, the denominator is 2 and we want it to be 6. Therefore we have to multiply top and bottom of the fraction by 3. Do this and we get 3/6. Thus the fraction equal to 1/2 with a denominator of 6 is 3/6.


What is 10 over 100 in simplest form?

0.1 You can divide or multiply the top (numerator) and the bottom (denominator) of a fraction by the same amount, and the fraction will stay the same. For example, 10/20, 1/2 and 6/12 are all equal (they are all a half). A fraction in its simplest form is one where the numerator and denominator have been divided down by whole numbers as much as possible. 10/100 = 1/10 by dividing numerator and denominator by 10. 1/10 can also be written as 0.1


What is the fraction 8 over 24 in reducing to the lowest amount?

It's 1/3 (just keep dividing the numerator and denominator by 2, until you can no longer divide it by 2).