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Because a fraction is defined by both, the numerator and the denominator.

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Q: Why doesnt the denominator indicate how large the fraction is?
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How do you know that a fraction is closer to 0?

A fraction is close to zero if the numerator is small or if the denominator is large, or both.


What is 4.65 as a fraction with a denominator of 48?

There is no such fraction. 223/48 is too small and 224/48 is too large.


Is 7.81024967591 rational or irrational?

It is a rational number because it can be expressed as a fraction albeit with a very large denominator.


What is the smallest fraction with two digit numerator and three digit denominator?

10/100, of course. If you want an irreducible fraction, that would be 10/101.To get a superlatively small fraction, you need a small numerator and a large denominator; therefore the correct answer is 10/999.


Why would you need to find the GCF and LCM of a set of numbers?

They GCF and LCM are useful in working with fractions: In simplifying a fraction dividing the numerator (top) and denominator (bottom) by the same number reduces the fraction. By dividing through by the GCF of the numerator and denominator the fraction cannot be simplified any further (except converting improper (top heavy) fractions to mixed numbers). For large numbers, it may not be obvious what are the common factors of the numerator and denominator so using a general algorithm to find their GCF makes this easier. When adding or subtracting fractions a common denominator is needed. One number which is guaranteed to work is to multiply all the denominators together. However, this can lead to extremely large numbers which can be difficult with which to work and lead to a fraction that will require simplifying. By using the LCM as the new denominator (hence its alternative name of LCD - Lowest Common Denominator) it ensures the numbers shouldn't get too big and should be easier with which to work.

Related questions

How do you know that a fraction is closer to 0?

A fraction is close to zero if the numerator is small or if the denominator is large, or both.


Is 0.2543675219 rational?

Yes because it can be expressed as a fraction albeit with a large denominator


What is 4.65 as a fraction with a denominator of 48?

There is no such fraction. 223/48 is too small and 224/48 is too large.


How do you change a proper fraction into a inproper?

Multiply it by a number that is large enough so that the numerator of the fraction becomes larger than its denominator.


Is 6.134278 is Rational or Irrational?

It is a rational number because it can be expressed as a fraction albeit with a large denominator.


What is the smallest fraction with two digit numerator and three digit denominator?

10/100, of course. If you want an irreducible fraction, that would be 10/101.To get a superlatively small fraction, you need a small numerator and a large denominator; therefore the correct answer is 10/999.


Is 7.81024967591 rational or irrational?

It is a rational number because it can be expressed as a fraction albeit with a very large denominator.


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.


How does finding the GCF help you simplify a fraction?

When adding and subtracting unlike fractions, it is necessary to find a least common denominator. It's the same process as finding an LCM. You can simplify a fraction by finding the GCF of the numerator and denominator and dividing them both by it.


Why would you need to find the GCF and LCM of a set of numbers?

They GCF and LCM are useful in working with fractions: In simplifying a fraction dividing the numerator (top) and denominator (bottom) by the same number reduces the fraction. By dividing through by the GCF of the numerator and denominator the fraction cannot be simplified any further (except converting improper (top heavy) fractions to mixed numbers). For large numbers, it may not be obvious what are the common factors of the numerator and denominator so using a general algorithm to find their GCF makes this easier. When adding or subtracting fractions a common denominator is needed. One number which is guaranteed to work is to multiply all the denominators together. However, this can lead to extremely large numbers which can be difficult with which to work and lead to a fraction that will require simplifying. By using the LCM as the new denominator (hence its alternative name of LCD - Lowest Common Denominator) it ensures the numbers shouldn't get too big and should be easier with which to work.


What fractions are equivalent to 2 fourths?

1/2 is equivalent to 2/4. Any fraction in which the denominator is twice as large as the numerator is equivalent to 2/4 as well.


What improper fraction is equal to three and three eights?

i think 25/8 Eh, it's 27/8 Take the large three (the whole number in front of the fraction), multiply it by the denominator of the fraction (eight), then add it to the numerator (three). (3*8)+3=27 So, the improper fraction is 27/8