Working with fractions?

Question

5 1/3 + 2 1/4+ 3 1/2=

12 3/8 % of intrest and went up 14 1/4%. how much precentage points did the interest rate increased.

Answer 1

the thing to do with fractions is:

1.) get rid of things like 12 3/4 by making them just a number over another number, like: 51/4

If it isn't clear how to do that, remember that "12 3/4" means "12 + 3/4" which is the same as

12/1 + 3/4

which is the same as

(12*4)/(1*4) + 3/4

which is the same as

48/4 + 3/4

which is the same as

51/4

2.) As seen above, once the bottoms (denominators) match, you can just add the tops to turn the sum of two fractions into a single fraction.

3.) multiplying two fractions is the easiest thing in the world, since you just multiply the tops and the bottoms.

(12/3) * (4/5)

becomes

(12*4) / (3 * 5)

or

48/15

4.) And remember, if you don't HAVE a denominator... then really it is '1', as in

12 * 3/4

is really

12/1 * 3/4

4.) DIVIDING fractions is also easy. Just take the bottom fraction (the divisor) and multiply by it upside down.

So

1/2 divided by 3/4

is the same as

1/2 mulitplied by 4/3

And again, they will probably give you something like

12 / (4/3)

Which is confusing until you rememver to fractify 12 by using a denominator of 1

(12/1) / (4/3)

or

(12/1) * (3/4)

or

(12 * 3) / (1 * 4)

or

36 / 4

----

Recapping:

1.) make everything a fraction (add denominator of 1, as needed)

convert 5 1/3 to 16/3 as soon as possible

2.) when everything is a fraction, break the problem into sub problems as needed (a + (b*c)) -- do the b*c first, then add the result to a.

3.) when adding, make everything use the same denominator (I suggest '12' in your example. For an individual fraction, you can multiply the top and the bottom by the same number without changing the basic meaning of the fraction.

3/4 means I have 3 pieces of a pie which has been cut into 4 pieces originally.

(3*2)/(4*2) == 6/8 means I have 6 pieces of a pie which was originally cut into eight pieces. It's the same amount of pie.

Well, except the bit which got stuck to the knife.

Answer 2

This is a set of mixed fraction. To sum up, each has to be converted into improper fraction.
ie., 5 1/3 + 2 1/4+ 3 1/2= 16/3 + 9/4 + 7/2 = (64 + 27 + 42)12 ; (since 12 is the LCM)
= 133/12
Next, Increase in the % is = 14 1/4% - 12 3/8 %
=(14 1/4 - 12 3/8)% ; once again transferring them into improper fraction, we have
=(57/4 -99/8)% = [(114 - 99)/8]% = 15/8 %=1 7/8 %

Answer 3

5-1/3 +2-1/4+3-1/2=
whole numbers 5+2+3=10
add fractions by finding common denominator
1/3=4/12
1/4=3/12
1/2=6/12
________
13/12 which is an improper fraction which is better expressed as

13/12=12/12+1/12 =1 (12/12)+1/12
add to whole number sum
10+1-1/12=11-1/12


as a simple rise in percentage rate this is


12 3/8% as a decimal fraction is

12.000
.125 (1/8)
.125
.125
___________

12.375% divide by 100 to change % to decimal

.12335

convert 14 1/4 % to decimal

14.000
.250 (1/4)
__________
14.25 % divide by 100 to convert to decimal

.1425

now subtract the first number from the second

.14250
- .12375
_________

.01875 multipy by 100 to make it %

1.875% convert to fraction

1-7/8 [.875 divide by .125 (1/8)]
1-7/8 points increase


or this can be a more difficult problem as a 14-1/4 % increase or a percentage of a percentage -- you do the math ?

Answer 4

51/3 + 21/4+31/2 = 16/3 + 9/4 + 7/2

LCM of the denominatiors 3,4,2 is 12 and hence

16/3+9/4+7/2 = (64 + 27 + 42)/12 = 133/12 = 11 1/12

123/8% interest went upto 141/4%

the increase in interest is 123/8 - 141/4 = 15/8 = 17/8

fir an interest of 123/8 the increment is 17/8
hence for an increment of 100 the interest is 100 x 15/8 x 4/57
= 13.16% increase

Answer 5

i do not comprehend what you're talking about, so i wager i will only provide you with each and every thing. including fractions interior of reason trouble-free. Say you're including 3/7 and a couple of/7. All you should do is upload the numerators (3 and a couple of) and keep the denominator (7) a similar. party 3/7+2/7=? 3+2=5 3/7+2/7=5/7 Subtracting fractions isn't a lot more durable. party 3/7-2/7=?. 3-2=a million. 3/7-2/7=a million/7 only subtract the numerators and keep the denominator a similar. If the 2d fraction is larger than the first fraction, the reply will be adverse, of route. ok, so multiplying fractions is a touch more durable than including and subtracting, however it is nonetheless especially easy. keep on with those 3 easy steps: a million) Simplify the fraction. Say if a fragment you're operating with is 3/6, then positioned it in its least confusing variety. it is a million/2 (duh). 2) Multiply the numerators to get the hot numerator. 3) Multiply the denominators to get the hot denominator. party 3/6(5/2) a million/2(5/2) a million(5)=5 2(2)=4 3/6(5/2)=5/4 Dividing fractions is amazingly like multiplying fractions - the purely enormous difference is you turn the 2d fraction into its reciprocal. Reciprocal - a pair of numbers whose product is one. party - 2/3(3/2)=a million The reciprocal of two/3 is 3/2 - in different words, you turn the numerator and the denominator round. keep on with those 3 trouble-free steps: a million) turn the 2d fraction (the single you want to divide by using) upside-down, into its reciprocal. 2) Multiply the first fraction by using its reciprocal. 3) Simplify the fraction, if needed. party (2/3) / (a million/4) = ? 2/3(4/a million) 2(4)=8 3(a million)=3 (2/3) / (a million/4) = 8/3

Answer 6

11 1/12

Answer 7

With your first problem, 5 1/3 + 2 1/4+ 3 1/2, the KEY is find a common denominator and then add.

Now I tell my students that it's best to convert those mixed fractions into improper ones (number on top and a number on the bottom) because it makes it easier to handle.

To convert mixed to improper, you multiply the whole number by the denominator, and then add the numerator to it.

Look at the denominators you have, 3, 4, and 2, and find something a number they all have in common. That would be your "new denominator."

Then convert each fraction into this new denominator, and add the numerators together and stick it over the new denominator. If you need to reduce, do it. And if you need your answer as a mixed fraction, simply divide numerator by denominator and put any "leftover" / remainder over the denominator.
_____________________________________________________
With your second problem, you'd simply drop the percent signs, subtract the smaller number from the larger, and then add the percent sign back at the end.

Answer 8

14-1/4 minus 12-3/8 =

14-2/8 minus 12-3/8 =

13-10/8 minus 12-3/8 =

1-7/8

Answer 9

Did it go up TO, 14 1/4% ,or did it go up BY, 14 1/4%?

Answer 10

Are you going to have us do ALL of your homework? This is at least the third question you asked.

First Question = 133/12

Second question = 1.875 % increase.