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When comparing fractions you must find a common denominator; by finding the least common denominator it will keep the numbers (numerators and denominator) smaller .

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โˆ™ 2011-10-13 20:23:55
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Q: Is it always necessary to find the least common denominator to compare the sizes of fractions?
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Is it always necessary to find the LCD to compare the sizes of fractions explain?


How to add fractions having similar numerators but different denominators?

The first step, to add, subtract, or compare fractions, is always to convert the fractions to equivalent fractions, that all have the same denominator. You can use one of several techniques to get the LEAST common denominator, or simply multiply the two denominators to get a common denominator (which in this case may, or may not, be the smallest common denominator).

Is four sevenths the same as two fifths?

To compare two fractions, find a common denominator (multiplying the two denominators will always give you a common denominator), convert both fractions to the common denominator, then compare. Another - actually easier - way to compare two fractions is to convert both to decimal. Just pick up a calculator, and divide the numerator by the denominator.

What is a unit rate where the the denominator is one unit?

its always going to be in the denominator of 2 fractions.

What fractions will equal to 1?

Fractions will always equal 1 when their numerator is the same as their denominator

What is always needed when adding and subtracting fractions?

a common denominator

When adding fractions what you always must do is find the?

Common denominator

Is the least common denominator of two fraction is always greater than the denominator of the fractions?

Not always. If one denominator is a multiple of the other, the LCD will be the larger one.

What is the simalarites betweenproer and improper fractions?

Both proper and improper fractions have a numerator and a denominator. In a proper fraction the numerator is always less than the denominator. In an improper function the numerator is greater than the denominator

What is true about the numerators of two like fractions with a sum of 1?

That their sum is always equal to the denominator.

Is the product of two denominators always a common denominator?

Only if you have just two fractions.

Why do you compare percents and not actual numbers?

Its probably easier if you see percentage as a fraction (always with a denominator of 100) this puts it in the same area as other commonly used fractions such as one half, one quarter etc.

If two fraction have unlike denominators then the LTD is the product of their denominations?

Answer: I assume you are talking about the least common denominator. If you multiply the denominators, you will get a common denominator. This will always work, if you need to add, subtract, or compare fractions. However, the common denominator you thus get will not always be the LEAST common denominator. Examples: * For denominators 7 and 11, the least common denominator is, indeed, the product (77). * For denominators 4 and 6, the product is 24, but the least common denominator is 12. * The difference can be more extreme, too; for denominators 100 and 200, the product is 20,000, but the least common denominator is only 200. * Or even more extreme: if both fractions have the denominator 551, the product is 303,601. The least common denominator, of course, is just 551. Answer: I am not sure but it's Lcd

How do you compare ant two fractions to decide which is largest?

A fraction has the numerator on 'top' and the denominator on the 'bottom'. If the two fractions have the same denominator (eg: 1/4 and 3/4) then you can simply compare the numerators, and the larger fraction has the larger denominator (in the above example, 3 is bigger than 1 so 3/4 is bigger than 1/4.) If the Denominators are different then you must find the common denominator. Do this by 'adjusting' (multiplying numerator and denominator by the same number) either one or both fractions, then comparing the numerators. eg: 2/3 and 1/2. The denominators are different, and the common denominator would be 6 (2x3). (This is not always the smallest though, like the lowest common denominator for 1/4 and 1/6 is 12, not 24.) Once you have the lowest common denominator, adjust the fractions: 2/3 becomes 4/6 (as you had to multiply 3 by 2 to get 6, multiply the numerator by 2). 1/2 becomes 3/6 (again, multiply numerator by the same number as the denominator). Compare the fractions: we have 3/6 and 4/6. 4/6 is bigger, which is the same as 2/3, therefore 2/3 is bigger than 1/2.

What fractions have the same value?

5/10 is equal to 1/2. Whatever you multiply the numerator by you must multiply the denominator and you will always get same valued fractions

Are controls always necessary in an experiment?

Controlled variables are always necessary in an experiment. This is because a baseline is needed to compare the results to.

Do you always have to find common denominator when working with fractions?

No. Only if you're adding or subtracting and then only if the denominators are different.

What are tha different kinds of fraction?

there are 3 types of fractions proper,improper,mixed proper fractions:-numerator is less than denominator like-2/3,5/7,6/9 improper fractions:- numerator is greater than denominator like-3/2,5/4,9/7 mixed fractions:-always improper fractions are converted to mixed fractions,mixed fractions are combination of proper fractions and whole numbers like-2.2/7,5.3/7

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.

Are negative fractions integers?

Technically, the answer is always "No", simply because there's no such thing asan "interger".However, a fraction is equivalent to an integer if its numerator is a multiple ofits denominator.

What I there is isn't a lowest common denominator for a fraction?

There is always an LCD for a set of fractions, even if it's only the product of the denominators.

Why is it helpful to write a fraction as a percent?

It is not always helpful.Some people may find it helpful when comparing fractions. By converting them into percentages they are made into like fractions: all with the denominator 100.

Why is it necessary to add a decimal point when you are dividing a numerator from a denominator?

It is not always necessary. For example 100/5 = 20. No decimal points in sight!

How are fractions and percents different?

A percent is a fraction that always has 100 as the denominator (bottom number). So 14% is 14/100 or 0.14.

What did you learn from adding and subtracting fractions?

I learned to always change the denominators before adding or subtracting the numerators. You must always have a common denominator before adding or subtracting.