You can compare two fractions by converting them to a common denominator - but if you need to compare several fractions, it would be easier to write each fraction as a decimal, with several digits after the decimal point, then compare the decimals. Oh Yeah And When I Have A Question No One Effen Answeres It!
Answer: When adding or subtracting fractions with different denominators it is important to change the denominators into the lowest common denominator by using equivalent fractions. Answer: Equivalent fractions are used to: * Simplify fractions. It is sort of inelegant to write the final solution of a problem as 123/246, when you can just as well write it as 1/2. * Add fractions. If two fractions have different denominators, you need to convert them to equivalent fractions that have the same denominator. Only then can you add. * Subtract fractions (same as addition). * Compare fractions, to check which one is larger (same as addition).
Change them to improper fractions and double them.
The idea behind Egyptian fractions is to write any fraction as the sum of unit fractions which are fractions with the number 1 in the numerator, like 1/2 or 1/3. The catch is all the fractions have to be different. This means no two fractions with the same denominator can be added. So we write 2/3 but that is not a unit fraction. You cannot write it as 1/3+1/3 using Egyptian fractions because the violates the repeating the fraction rule. Saying 3/4 = 1/2 + 1/4 is totally OK. The reason they are worth understanding and studying, other than their pure beauty, is they allow you to compare fractions easier than our current system. They also allow you to divide things up into parts more easily than our current system. So since we cannot write 2/3 as 1/3 + 1/3 how do we write it? We write it as 1/6 +1/2. One common notation for this Egyptian fraction is [2,6]. Using this notation, here are a few others: 2/3= [2,6]2/5= [3,15]2/7= [4,28] Now that you see what they are, let me explain what I meant about dividing and comparing. If I write 5/8 as 1/2+1/8 and I want to divide 5 things among 8 people, each would get 1/2 and 1//8. That is 5/8 and 8 ( 5/8)=5 . It is as simple as that. In general if I have m things to divide among n people, I write m/n as an Egyptian fraction and each person gets that fractions worth of the thing I am dividing. When we compare fractions we usually have to either convert them to decimals or create fractions with a common denominator. With Egyptian fractions, this is not necessary. You write the numbers as Egyptian fractions and then keep doing that with the fractions you have until you can compare the two. You get the added advantage of seeing just how much bigger or smaller one number is from the other.
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You can compare two fractions by converting them to a common denominator - but if you need to compare several fractions, it would be easier to write each fraction as a decimal, with several digits after the decimal point, then compare the decimals. Oh Yeah And When I Have A Question No One Effen Answeres It!
Answer: When adding or subtracting fractions with different denominators it is important to change the denominators into the lowest common denominator by using equivalent fractions. Answer: Equivalent fractions are used to: * Simplify fractions. It is sort of inelegant to write the final solution of a problem as 123/246, when you can just as well write it as 1/2. * Add fractions. If two fractions have different denominators, you need to convert them to equivalent fractions that have the same denominator. Only then can you add. * Subtract fractions (same as addition). * Compare fractions, to check which one is larger (same as addition).
For people who are not familiar with fractions it is easier to compare them in the form of unit rates.
One way is to write equivalent fractions with like denominators. IF your ordering fractions AND decimals, write the decimal(s) as fractions. Then put them side by side and compare. for example. Lets say you have 3 fractions and one decimal. 7/8, 9/8, 1¼, and 0.75. Write 0.75 and 75/100 - that equals ¾. Then take the rest of the fractions and compare them so, 7/8, 9/8, 1¼, ¾. there are two 8s and two 4s. Since 4 can be multiplied by 2 to equal 8, 8 is your lowest common denominator. take the 1¼ and multiply the numerator and denominator by 2, that = 10/8, then take the ¾ and do the same thing and that = 6/8. Finally, take all your fractions, put them side by side, and compare them. So, 6/8, 10/8, 7/8, 9/8. Since the denominators are the same, you compare the top numbers. 6 < 7 < 9 < 10. So your answer is 0.75 < 7/8 < 9/8 < 1¼ Hope that helps :)
Change them to improper fractions and double them.
The idea behind Egyptian fractions is to write any fraction as the sum of unit fractions which are fractions with the number 1 in the numerator, like 1/2 or 1/3. The catch is all the fractions have to be different. This means no two fractions with the same denominator can be added. So we write 2/3 but that is not a unit fraction. You cannot write it as 1/3+1/3 using Egyptian fractions because the violates the repeating the fraction rule. Saying 3/4 = 1/2 + 1/4 is totally OK. The reason they are worth understanding and studying, other than their pure beauty, is they allow you to compare fractions easier than our current system. They also allow you to divide things up into parts more easily than our current system. So since we cannot write 2/3 as 1/3 + 1/3 how do we write it? We write it as 1/6 +1/2. One common notation for this Egyptian fraction is [2,6]. Using this notation, here are a few others: 2/3= [2,6]2/5= [3,15]2/7= [4,28] Now that you see what they are, let me explain what I meant about dividing and comparing. If I write 5/8 as 1/2+1/8 and I want to divide 5 things among 8 people, each would get 1/2 and 1//8. That is 5/8 and 8 ( 5/8)=5 . It is as simple as that. In general if I have m things to divide among n people, I write m/n as an Egyptian fraction and each person gets that fractions worth of the thing I am dividing. When we compare fractions we usually have to either convert them to decimals or create fractions with a common denominator. With Egyptian fractions, this is not necessary. You write the numbers as Egyptian fractions and then keep doing that with the fractions you have until you can compare the two. You get the added advantage of seeing just how much bigger or smaller one number is from the other.
Depending on how you write them, they are either called mixed fractions (e.g., 2 1/2), or improper fractions (e.g., 5/2).Depending on how you write them, they are either called mixed fractions (e.g., 2 1/2), or improper fractions (e.g., 5/2).Depending on how you write them, they are either called mixed fractions (e.g., 2 1/2), or improper fractions (e.g., 5/2).Depending on how you write them, they are either called mixed fractions (e.g., 2 1/2), or improper fractions (e.g., 5/2).
0.031 = (0 x 1) + (0/10) + (3/100) + (1/1000)
what is an appropriate fraction
3/10,000ths
divide
924/1000