Why, when I divide the numerator by the denominator of a fraction will I get an equivalent decimal?
602072
You figured it out - the distributive property is your key:\n\nThink of what you're saying when you write (7/8) = (1/8)*7\n\nyou're saying (1/8)+(1/8)+(1/8)+(1/8)+(1/8)+(1/8)+(1/8)=7/8\n\nBut let's work with 10th; you'll see it faster:\n\nLet's say 3/10 to make it easy and keep my fingers from falling off...\n\nSo, if you buy the first thing, we're saying that:\n\n(3/10) = 3*(1/10) = (1/10)+(1/10)+(1/10)\n\nNow think decimals.  This one is easy, right?  Since our number system is based on ten, this is a nice round number -\n\n(3/10) = 0.3  or three pieces, that are each one tenth of a whole item (a dollar, a chocolate bar - whatever helps).  Really, what you are asking is how many pieces of the whole thing you have - broken down by tens, because that's what our number system is based on.\n\nSo (bare with me, but I think you'll get it after this), instead, let's say we have 1/4 of something, we have two tenths of it, plus another half of one-tenth:\n\n(1/4) = (1/10)+(1/10)+[(1/2)*(1/10)] = 0.25\n\nor [2*(1/10)] + [(1/2)*(1/10)] = 0.25\n\nAnd, it works for any multiple - if we made the denominator 60, we would have to multiply by 15:\n\n(1/4) = (15/60) = 0.25\n\nA twenty-five cent piece and fifteen minutes after the hour con't share the name "quater" by accident...\n\nAnd believe me, this works for any fraction under the sun.\n\nHope that helps.
4228
Multiplying fractions is the same as taking part of the number; for example, if you want half of a half, you multiply 1/2 by 1/2 to get a quarter.  Now suppose you wanted two thirds of a half.  The first thing you need to know is, what is one third of a half?  So, multiply 1/3 by 1/2 to get 1/6.  But you know you want two of those, so you multiply 1/6 by 2.  So you did:\n\n1/3 * 1/2 = 1/6\n1/6 * 2 = 2/6 (or 1/3)\n\nOr, to put it all in one step:\n2/3 * 1/2 = 2/6 (or 1/3)
579225
Division by zero is undefined, even if you divide zero into zero.\n\nhttp://en.wikipedia.org/wiki/Division_by_zero
316383
Reduce it untill the # on the bottom is prime.\n (divide the top AND bottom by 2 untill you get a decimal.)
146775
I love when people answer without reading the question.  It should have two significant figures.  You start out with three (from 3.24), but when you subtracted you end up with two because you lose the one directly to the left of the decimal place.  Then when you multiply, you still only have two significant figures.\n\n***Note: The rule that the answer should have the same number of sig. figs. as the number with the fewest only applies to addition and division.  For addition and subtraction the rule is report the same number of figures to the right of the decimal point as the number that has the fewest.  Since 3.24 does not have a 1000ths place, the answer to 3.24-2.52236 shouldn't either (assuming you're following the rules of significant figures rather than simply of arithmetic).  Sorry if that was kind of hard to follow (I need to sleep), but hopefully you get the idea.
738432
the larger the number is on top, the larger the fraction.\n\nhowever, as the number on teh bottom gets larger, the value of the fraction actually gets smaller. ex: 1/2 > 1/3 > 1/4
395828
haha, but this does not work. you cannot mathematically divide by (a-b) because this quantity is equal to 0. (1-1)=0. Dividing by zero yields an indeterminate answer.
134771
That would be like 2/2 is equivalent to 3/3, or 3/4 is equivalent to 6/8.  Equivalent fractions will be eqaul when they are reduced to their lowest form.  1/2 is equivalent to 40/80, the list goes on and on.
505203
The fractions you wrote are actually already reduced fractions; i.e. the gcd(numerator, denominator) = 1\n\nif you were intending to multiply the three fractions, that simplifies to 13/50
958595
ok... think it out loud... 0.5 is the same as five-tenths\n0.05 is the same as five-one-hundreths\n0.005 is the same as five-one-thousandths\nso, 1.005 is the same as 1 and five-one-thousandths\nnow... 1 is the same as 1000/1000\nso 1000/1000 +5/1000 = 1005/1000\nthen you reduce by dividing both the top and bottom by 5 and you get your answer... 201/200\n\nthe same goes for 12.25\n0.25 is the same as 25/100 or twenty-five one-hundredths\n25/100 reduces to 1/4 when you divide the top and the bottom each by 25\nand 12 = 12/1, so multiply both the top and bottom by 4 and you get 48/4... then add the 1/4 from above and you get 49/4\n\n\nfor the second part... convert the mixed numbers into fractions first...\n11 1/3 is the same as 33/3 + 1/3 = 34/3\nNEXT... dividing is the same thing as multiplying by the reciprocal...\nSOO... 34/3 divided by 4/9 is the same as 34/3 times 9/4\nyou can look at the problem now and see that the 3 and the 9 cancel each other to get\n34/3 times 9/4\n34/1 times 3/4\n17/1 times 3/2\nanswer is 51/2 or 25 1/2\n\n2/B divided by 8/B is the same as\n2/B times B/8... and the B's cancel giving you\n2/1 times 1/8... then\n1/1 times 1/4\nwhich leaves you with\n1/4
891438
I used to also. I'll try to give an explanation: forgive me if I go over anything you already know. Alright, think of it this way: you know how to multiply fractions, correct? Alright, so when you multiply two fractions, such as 1/2 and 3/4, you multiply the numerators (those are on the top) (1x3) and the denominators (those are on the bottom) (2x4) and you have your answer: 1/2 x 3/4 = (1x3)/(2x4) = 3/8. Dividing is just the opposite of multiplication. So if you were dividing 1/2 by 3/4, you just flip over the second fraction and multiply: 1/2 / 3/4 = 1/2 x 4/3 = 4/6. \nHere's an answer that's a bit more advanced but might help you understand this better (at least it did for me): if you have some number, a, over some number, b, it can be written this way: a/b. Now, if you divide it by some other fraction, c/d, it can be written this way: \na/b x 1/(c/d). This is the same as saying that when you divide 6/1 by, say, 2 (which equals the fraction 2/1), it is the same as if you are multiplying 6/1 (6/1, or six divided by 1, equals 6) by 1/2. See for yourself: 6 / 2=3, 6 x 1/2= 6/1 x 1/2 = 6/2 which when you reduce (divide top and bottom by common factor, in this case 2) it equals 3/1, or 3. \n1/(c/d) is the reciprocal of (c/d). The reciprocal basically means you flip the top and bottom: for instance, the reciprocal of 2/3 is 3/2, the reciprocal of 1/2 is 2/1, or 2, the reciprocal of 4/1, or 4, is 1/4, etc. So if you flip over c/d, you get: a/b x d/c, which if a=1, b=2, c=3, and d=4, is exactly the same as what we had above.
643290
For making Addition or Subscration of the fractions, the first rule is Denominator should be equal\n\nThus \n5/8 -1/2 to make denominator equal multiply second fraction by 4 to both numarator and denominator making it 4/8\nso,\n5/8 - 4/8 = (5-4)/8 = 1/8
817751
One of the easiest ways to do it is to change the fraction so the denominator is 100.  For example, say you want to find the decimal form of 2/5.  If you multiply 5 by 20 you'll get 100, so multiply the numerator by 20 and the denominator by 20 and you get 40/100.  To change it to a decimal, place the decimal point behind the number you just came up with, so 2/5 in decimal form would be .40.
681334
If there is no remainder, then this is a *whole number without a* decimal.  Or you could say that the decimal portion was zero.\n\ne.g. 27/3 = 9.0\n4/1 = 4.0\n-28/7 = -4.0\n-2/-2 = 1.0\n18/-3 = -6.0\n\netc.
266980
4. The current does not change.  I=E/R so multiplying the numerator and denominator by 0.50 results in the same answer, does it not?
941693
it's easy of means multiply something the .7  is in precent and u have to convert it into a decimal by moving the decimal point 2 spaces to the left. the answer to the problem is.9093. I think u are missing some infor u probably want a fraction like is/for = %/whole I can't do that because u have not provide me with details.
354488
To convert a fraction to decimal using a calculator, its just the top number (numberator) divided by the bottom number (denominator).\n\n1 ÷ 4 = 0.25\n\nTo convert it without a calculator, you can use equilavent fractions, which works for some easy denominators. Just change the denominator to a power of 10 (10,100,1000,...) by multiplying the top and bottom by the same amount, which keeps the same value of the fraction.\n\n1/4 = 1*25 / 4*25 = 25/100 = 25 hundredths\n\n25 hundredths ends in the hundredths column, so 0.25\n(thats the same as 2 tenths and 5 hundredths)\n\nYou can also work out any fraction into a decimal using long division, just proceed past the decimal as normal, putting in extra 0's\n\n1 ÷ 4 = 4 into 1 = 4 into 1.00\n\n4 ) 1.00\n\n4 into 1 goes 0 remainder 1\n4 into 10 goes 2 remainder 2\n4 into 20 goes 5\n\n0.25, keeping the decimal point in the same place\n\nThis always works, although you will need to decide when to stop for a repeating decimal such as 1/3\n\n3 ) 1.0000...\n\n3 into 1 goes 0 remainder 1\n3 into 10 goes 3 remainder 1\n3 into 10 goes 3 remainder 1\n3 into 10 goes 3 remainder 1\n3 into 10 goes 3 remainder 1\n.\n.\n.\n\n1/3 = 0.33333...