how do you add/multiply/divide/subtract fractions
138553
For exemple:\n\n1) 5/4 + 2/6 = (5*6)/ (6*4) + (2*4)/(6*4)\n             = 30/24 + 8/24\n             = 38/24\n\n2) 5/4 * 2/6 = (5*2)/(4*6)\n             = 10/24\n\n3) 5/4 / 2/6 = (5*6)/(4*2)\n             = 30/8\n\n4) 5/4 - 2/6 = (5*6)/ (6*4) - (2*4)/(6*4)\n             = 30/24 - 8/24\n             = 38/24
21618
Your computer has a calculator built in.  Failing that, try long division.  You're gonna have to learn how to do it anyway.\n\nSheesh.
475064
Make a program on your calculator.\nView the snippet in the link for code.
112000
well, you just multiply top and bottom by x, like how you simply fractions.  (clearly x isn't 0 so this is legal)\n\n= lim (x->1) x(1-1/x)/(x(x-1))\n= lim (x->1) (x-1)/(x(x-1))\n= lim (x->1) 1/x \n= 1
325615
The denominators need to be the same before you add fractions. Simply multiply each fraction (top and bottom) by the denominator of the other fraction. This doesn't change their values.\n\na/b + c/d = ad/bd + bc/bd\n\nThen you can add the numerators safely!\n\n= (ad + bc) / bd\n\n;?)\n\n\nAdditional details: Multiple fractions - \n\nYeah, the simple rule is to multiply by all of the denominators, e.g.\n\n1/2 + 4/7 + 3/5 =\n\n1x(5x7) / 2x(5x7)  +\n4x(2x5) / 7x(2x5)  +\n3x(2x7) / 5x(2x7)  =\n\n35/70  +  40/70  +  42/70 =  117/70 =  1+(47/70)\n\nIn some cases you can use a smaller denominator, by finding the "lowest common multiple" of the original denominators, e.g.\n\n1/6 + 2/3 + 5/12\n\nIn this case, you can easily convert all the fractions to n/12, rather than n/216 (which you would get by 6x3x12) which keeps the sum simpler\n\n( 2x1 / 2x6 )   +   ( 4x2 / 4x3 )   +   ( 5/12 )  =\n\n2/12  +  8/12  +  5/12  =\n\n15/12  =  1+ 3/12  =  1+ 1/4\n\nIf you had stuck to the simple method I first described, your sum would have finished up:\n\n36/216  +  144/216  +  90/216  =  270/216\n\nYou'd have to factor this out to simplify it:\n\n270/216  =  1 + (54/216)\n\n=  1 + (2.3.3.3/2.2.2.3.3.3)\n\n=  1 + (1/4), same answer by a different route
314162
When you're given a ratio, you can find an equivalent ratio by multipying or dividing both elements of the ratio by the same number.  For instance, 3:4 = 6:8 (I multiplied both the 3 and 4 by 2... 3x2=6, 4x2=8).\n\nKeeping that in mind, we want to find a simpler way to write the given ratio, and our strategy here will be to find the lowest common denominator (LCD) of the two fractions, and multiply both fractions by that integer.  (If multiplying a fraction times a non-fraction (the LCD) throws you, write the LCD as a fraction by giving it a denominator of 1.)\n\nSo, all you need to work out is:\n\n(1) what's the LCD of 1/3 and 2/5?\n\n(2) when I multiply 1/3 and 2/5 by that number, what do I get?\n\nGood luck!
114892
first turn any whole numbers into fractions:\nex) 2 & 1/2 becomes 5/2 (2x2=4 +1=5 and the bottom number remains the same)\n5 & 1/3 becomes 16/3 (5x3=15 +1=16 and the bottom number remains the same)\n\nnext, if the bottom numbers are not the same, make them the same:\nex) 5/2 - 1/2 already has the same bottom number so you would simply subtract the top numbers 5-1=4 so the answer would be 4/2.  To simplify, divide 4 by 2. Answer is 2.\nex) 1/2 - 1/3 bottom numbers are not the same so you change them.  In this case, 2 & 3 have the number 6 in common so that is the number you will use on the bottom.  1/2 will become 3/6 (2*3=6 on the bottom & 1*3=3 on top) 1/2 will become 2/6 (3*2=6 on the bottom & 1*2=2 on top).  Now you have 3/6 - 2/6 = 1/6 which cannot be reduced.\n\nThe key to subtracting fractions is to get the bottom numbers the same by multiplying top and bottom by the same number.\n\nThe key to simplifying fractions is simply division.  If the top and bottom numbers can be divided by the same number so that.\nEx) 4/8 both are divisible by 2 which makes it 1/2\nIf the top number is larger than the bottom, you can get a whole number with a fraction.  First simplify as above and then divide, if there's anything left over (a remainder) place that over the bottom number to make the remaining fraction.\nEx) 75/9, both are divisible by 3 so reduce first. (75 becomes 25 and 9 becomes 3) the new fraction is 25/3 now break it apart further. 25 divided by 3 is 8 (3*8=24) that leaves 1 left over (25-24=3), place the 1 over the bottom number 3 and your final answer is 8 & 1/3\n\nHope this helps some.
477304
What you want to do is factor out the same values from the numerator and denominators.  \n\nThe order in which you factor these out does not matter, the key is to continue to factor them out until there is nothing else to factor out.\n\nFor example you can factor out a^8 by turning it into:\n\n36 * (a^8) * (b^4) * 1/2\nover\n27 * (a^8) * a * (b^6) * 1/3\n\nsince (a^8) over (a^8) = 1 you can cancel them out leaving you with:\n\n36 * (b^4) * 1/2\nover \n27 * a * (b^6) * 1/3\n\nwe do the same factoring for b where we can factor out a (b^4):\n\n36 * (b^4) * 1/2\nover \n27 * a * (b^4) * (b^2) * 1/3\n\ncanceling the (b^4)s we get:\n\n36 * 1/2\nover\n27 * a * (b^2) * 1/3\n\nYou can then further reduce the fraction by multiplying out the 36 * 1/2 and the 27 * 1/3:  leaving you with:\n\n18\nover \n9 * a * (b^2)\n\nAs you can see now you can factor out a multiple of 9 leaving you with:\n\n2\nover\na*b^2
539769
Two add two fractions, the denominators must be equal.\n\nThe first step is to convert the addend that is a mixed number (an integer plus a proper fraction) into an improper fraction. Do this by multiplying the integer part by the denominator and then add the numerator of the fraction.\n\nExpress the result as an improper fraction (fraction with value greater than 1) whose numerator is the sum you just calculated and whose denominator is the same as the denominator of the fraction part of the mixed number.\n\nFor example: 2/3 + 4 2/5 = 2/3 + 22/5\n\nNext, find the least common denominator of these two fractions, the smallest integer that contains both denominators as factors. For the example above, this is 15. Multiple both terms by (3*5)/15, which equals 1, and therefore does not change the value of the fraction:\n\n(2/3) * (3*5)/(15) = 10/15 (the 3's "cancel out" since 3/3 = 1)\n(22/5) * (3*5)/(15) = 66/15 (the 5's "cancel out" since 5/5 = 1)\n\nNow add 10/15 + 66/15 by adding the numerators and keeping the same denominator: 76/15.\n\nFinally, express this improper fraction as a mixed number by dividing: 5 1/15
483760
Wow, there is a lot here!  I'll start with some tips for solving algebra problems.  The first thing you should always remember is to play the equal game.  Whenever you add, subtract, multiply, or divide, you should do the same to the other side.  The other tip is to use the order of operations when simplifying.  Remember the sentence: Please excuse my dear Aunt Sally.  The initial letters of each word stands for the order of operations.  Do the Parenthesis first, followed by the Exponents, then Multiplication or Division, and Addition and/or subtraction next.  Finally, you should always simplify first using the order of operations before you start shifting numbers from one side of the = to the other.  \n\nI'm not going to work all of these problems, but I'll show you a few to get you started.\n\n1)\n3x-7 = 2   Add 7 to both sides\n3x = 9   Divide by 3\nx = 3\n\n4)\n6x - 3 = 2x - (4-3)/3   Simplify the stuff inside the parenthesis first\n6x - 3 = 2x - 1/3  Add 3 to both sides\n6x = 2x - 5/3  Subtract 2x from both sides\n4x = -5/3  Multiply both sides by 3\n12x = -5  Divide both sides by 12\nx = -12/5\n\nI hope this helps.  Good luck!
536448
You find the fraction of a fraction by multiplying the top numbers and (separately) multiplying the bottom numbers.\n\nTherefore, the answer is 1/3 x 1/8, or 1 x1 over 3 x 8.  1 x1 = 1, and 3 x8 = 24, so you wind up with 1/24.\n\nWhen I first learned how to do this, I wanted to divide rather than multiply.  But you multiply the fractions, and, as I said, top numbers go with top numbers and bottoms with bottoms.  Good luck!!
353820
Set it up like a long division sum.\nDon't worry about the dots - that just for spacing\nas I don't think a lot of spaces will work properly.\nI just hope the dots work, or it could look messy.\n\n........... Answer goes here\n..........┌──────────\n2x + 6 | 6x^2 + 28x + 29\n\n1) Divide 2x into 6x^2 to get 3x.\nThat's the first part of the answer.\n............ 3x\n..........┌──────────\n2x + 6 | 6x^2 + 28x + 29\n\n2) Multiply 3x by 2x and 3x by 6.\nPut the answers underneath the dividend.\n\n............ 3x\n..........┌──────────\n2x + 6 | 6x^2 + 28x + 29\n.......... | 6x^2 + 18x\n\n3) Now subtract bottom from top.\n6x^2 - 6x^2 = 0, so leave it clear.\n28x - 18x = 10x. Put 10x under the 18x.\nAlso, bring down the 29.\n\n............ 3x\n..........┌──────────\n2x + 6 | 6x^2 + 28x + 29\n.......... | 6x^2 + 18x\n.......... | ...........10x + 29\n\n4) Now we start again by dividing 2x into\nthe new dividend, 10x + 29.\n2x into 10x goes 5, so add 5 to the answer.\n\n5) Then multiply 5 by 2x and 5 by 6 and\nput the results under 10x + 29.\n\n6) Subtract : 10x - 10x = 0 and 29 - 30 = -1\nYou'll end up with :\n\n............ 3x + 5\n..........┌──────────\n2x + 6 | 6x^2 + 28x + 29\n.......... | 6x^2 + 18x\n.......... | ...........10x + 29\n.......... | .......... 10x + 30\n.......... | ..................... -1\n\nThis is as far as you can go,\nso the remainder is -1 / (2x + 6)\n\nSo the answer to (6x^2 + 28x + 29) / (2x + 6) is :\n\n3x + 5 - 1/(2x + 6)
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for example\na/b\n---- = ad/bc\nc/d\n \n\na/b + c/d = (ad +cb)/ad\n\na/b -c/d =( ad- bc) /ad\n\n(a/b)(c/d)= ac/bd\n\nx
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Multiply. Remember, 'of' usually means MULTIPLY.\n\nChange mixed numbers to improper fractions:\n5/3 x 22/9\n\nMultiply fractions. To multiply fractions, multiply the numerators and use that as the numerator of the answer. Multiply the denominators and use that as the denominator of the answer. You have an answer in improper unsimplified form.\n5/3 x 22/9 = 110/27\n\nSimplify. Find factors and divide both the numerator and the denominator down to a simplified form.\nIn this case, there are no factors.\n\nThis is the improper simplified form. You may want to change it to proper form.\nIf you would like to change it to mixed number form, divide and divide the first remainder by your divisor. Then, your answer plus the answer of that (fraction form) is your mixed number form.\n110/27 = 4 (Remainder 2) 2/27 + 4 = 4 2/27\n\nYou now have the answer.\n\nImproper Form:  110/27\nProper Form:  4 2/27
303855
There is no simple trick for the addition of two numbers. You will have to calcuate their actual value and then add them. So for you example you would have to go to 4 + 8 = 12.
51364
1. Start Microsoft Excel\n\n2. Before you type fractions in cells, preformat the group of cells that need to be displayed as fractions. Select the cells where you want to enter fractions, and then select Cells from the Format menu.\n\n3. Click Fraction in the Category list, and then, from the list on the right, select the type of fraction that you would like to display. Click OK.\n\n4. Now you are ready to type fractions in these preformatted cells. To type fractions in cells, just type the numerator, followed by a slash (/), then followed by the denominator—do not type spaces.\n\na. For example, 1/2 would represent one-half, as would 4/8 (Excel reduces fractions to their lowest terms). If you need to type a whole number and a fraction in one cell, type the whole number followed by a space, and then type the fraction (numerator, slash, denominator).
214314
Take each one and put in over 1000 and then reduce.\nYou use 1000 because there are 3 decimal places.