Diving hard fractions?

HELP HELP HARD HOMEWORK! its fractions :(?

  • How do you +, - and divide fractions ? i have a really tought homework that looks like this 1 2/3 X 4/5 and even harder 3/11 +11/12

  • Answer:

    First, know that you will make life easier by realizing that 1 2/3 = 4/3 ... I'm assuming you know how to get this So let's rewrite your problem as: 4/3 x 4/5 Recall the general rule that (a / b ) x (c / d ) = (ac / bd ) for fractions... therefore 4/3 x 4/5 = (4x4) / (3x5) = 16/15 , which is your answer. 3/11 + 11/12 ... For this problem we need to know that we can only add fractions after they have a common denominator. 11 and 12 are NOT common. We can easily find a common demoniator of both... 11x12 = 132 to convert 3/11 into something over 132, we have to mutiply by a factor, 12. ( 3 * 12 ) / (11 * 12 ) = 36 / 132 to convert 11/12 into something over 132, we have to multiply by a factor of 11. (11 * 11 ) / ( 12 * 11 ) = 121 / 132 Now simply add: ( 36 / 132 ) + ( 121 / 132 ) = 157/132

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1 2/3 X 4/5, write as 5/3 * 4/5 = (5*4)/(3*5), cancel 5 or = 4/3 or 1 1/3. 3/11 +11/12, you really have to find the LCD , which is 11*12 or (3/11)*(12/12) + (11/12)*(11/11) or (3*12)/(11*12) + (11*11)/(11*12), now you can add, since they have same denom = (3*12 + 11*11)/(11*12), or =(36 + 121)/( 132 ) = 157/132

pbb1001

Adding and subtracting - first find the common denominator (ie the number that the bottom numbers will both go into) so that in your example is 132. Then add (or subtract) the top numbers ie 3 + 11 - the answer i 14/132 which divides down into 7/66. To multiply a fraction just multiply the top two numbers and the bottom two (after converting any whole numbers into fractions) 1 2/3 =5/3. so your answer is 5=4 (20) over 3x5 (15) which is 1 5/15 which equals 1 1/3 To divide a fraction invert(turn upside down) the second fraction then multiply across as above.

jeanimus

Adding and Subtracting fractions involves finding a common denominator. ************************************ Taking a step back, a fraction is a non-whole number that is expressed with a numerator and a denominator: numerator --------------------- denominator ************************************ Now, to find the common denominator, you can easily multiple the different denominators together (this may not be the least common denominator, but it is a common denominator). So, for 3/11 and 11/12, the common denominator would be 11*12 or 132. Now, you must express each fraction in the terms of the denominator, so you would multiple both the numerator and the denominator by the same number, as such: 3/11 * 12/12 = (3*12)/(11*12) = 36 / 132 11/12 * 11/11 = (11*11)/(12*11) = 121 / 132 This makes it easy to add your two fractions (remember that you only add or subtract the numerator and put it over the common denominator): 36/132 + 121/132 = (36+121)/132 = 157/132 = 1 25/132 ************************************ Multiplying and Dividing fractions are simple. To multiply, you multiply the numerators and multiply the denominators and the product of each is your result. For your example, 1 2/3 * 4/5, you must first express each number as fractions 1 2/3 = 5/3 5/3 * 4/5 = (5*4)/(3*5) = 20 / 15 **REDUCE** = 4/3 or 1 1/3 ************************************ Division is similar, you just multiple by the reciprical of the divisor. The reciprical is just the inverse fraction. For example, the reciprical of 2/3 is 3/2.

bx01z

Oh that's really simple! 1 2/3 * 4/5 (To multiply, you've got to have 2 fractions not whole numbers, so you have to put 1 2/3 in to fraction, to do this, (3*1)+2=5, which makes the fraction become 5/3) 1 2/3 * 4/5 5/3 * 4/5 (Now, to multiply you have to "cross multiply" this is really simple, you just divide the numbers that you can divide but in a "cross" line i.e, you can divide 5 by 5 or 3 by 4, vice-versa but NOT 3 by 5 and 4 by 5) (As you see, you can divide 5 by 5) 5/3 * 4/5 /3 * 4/= 4/3= 1 1/3 For the second one, you have to find the common denominator, you can easily find that using the L.C.M (Least Common Denominator) Here, the L.C.M is 132 So you know that you have to put both fractions on the same denominator: 3/11 = 36/132 11/12 = 121/132 36/132 + 121/132 (Now you can add them easily) 36/132 + 121/132 = 157/132 P.S: I know that you've already got your answers for your homework but I've replied as a challenge so, hope that it helps and that my explications are clear. If you know how to convert whole numbers into improper fractions, do cross multiplication and search for the L.C.M, I think you'll understand my explications. All the best!

Kimberley

dont know

Ruphus B Tripehound

1 2/3 X 4/5 = 5/3 x 4/5 = 20/15 = 1 5/15 = 1 1/3 3/11 + 11/12 = Find the common denominator (12x3)/(12x12) + (11x11)/(11x12) = 36/132+121/132 = 157/132 or 1 25/132 Here's what I do when multiplying fractions I use a simple equation that I can find the answer to, for example 1/2 x 1/2 = or 0.5 x 0.5 = 0.25 = 1/4 or 1/4 x 3/8 = .25 x .375 = .09375 = 3/32 so I know that to multiply fractions you multiply the top numbers (numerators) together and the bottom numbers (denominators) together to get your answer. When adding or subtracting fraction you must always have a common denominator (the bottom numbers must be the same). The easiest way to do that is to multiply the top and bottom numbers by the opposite denominator. Like the 1st number I multiplied the top and bottom by 12, and the second number I multiplied the top and bottom by 11. Then you simply add the top numbers together and reduce the value. Again you can use a simple number to know your doing it correctly: 1/2 + 1/2 = 2/2 = 1 We all know that 2 halves make a whole. I hope this helped.

bostep662

1 2/3 x 4/5 First change mixed number to a fraction by multiplying the whole number by the denominator of the fraction and adding the numerator, like this: 1 x 3 +2 = 5 and put it over your denominator 1 2/3 = 5/3 you now have: 5/3 x 4/5 multiply the numerators and the denominators: 5 x 4 = 20 3 x 5 = 15 Your new fraction is 20/15 (an improper fraction) Convert this to a mixed number by dividing the numerator by the denominator: 20/15 = 1 5/15 This can be reduced to lower terms : 1 1/3 To add 3/11 + 11/12 you must find a common denominator (you can simply muliply the denominators and use your result as the new denominator) 3/11 = 36/132 11/12 = 121/132 Then add: 36 + 121 = 157/132 Now divide numerator by denominator 1 25/132 Hope this helps

misty1

To add or subtract fractions you need to make sure that the bottom of the fractions you are working with are the same. Then you add the top half and leave the bottom half the same: eg. 1/2 + 3/2 = 4/2 = 2 eg. 3/2 - 1/2 = 2/2 = 1 or in a harder example you need to multiply the fraction until it has the same number on the bottom as the other (or do them both until they have the same number on the bottom) eg. 2/4 + 3/2 = (dividing left fraction by 2 so the bottom is a two) 1/2 + 3/2 = 4/2 = 2 To multiply fractions you just multiply the top and then the bottom. eg. 2/4 * 3/2 = 6/8 = 3/4 To divide you just flip one of the fractions upside down and then multiply eg. 2/4 / 3/2 = 2/4 * 2/3 = 4/12 = 1/3 So to sum up I will do your questions as further examples. 2/3 * 4/5 = 8/15 (which cannot be simplified further) 3/11 + 11/12 = 36/132 (multiplied by 12) + 121/132 (multiplied by 11) = 157/132 Hope that helps :)

Mortalmatt

1) make 1 2/3 an improper fraction then muliply across 5/3*4/5=20/15 which reduces to 4/3 or 1 1/3 2) 3/11+11/12 find a common denamtator--132 then times 3 and 11 by 12 to get 36/132 and times 11 and 12 by 11 to get 121/132 then add 36/132 and 121/132 to get 157/132 then reduce to get your final answer

Girlygirl22

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