Question

how dp you simplify this problem?
3+1/4 / (5/6+2^2)

Answer 1

is it
\[\frac{3 +\frac{1}{4}}{\frac{5}{6}+2^2} \]?

Answer 2

yes

Answer 3

then do it step by step.
first what is 2^2?

Answer 4

4

Answer 5

now what is
5/6 + 4

you first put the 4 over a common denominator of 6 like this
\[ \frac{4}{1}\cdot \frac{6}{6}= \frac{24}{6}\]
now add 5/6 + 24/6

Answer 6

If you need more help with fractions, maybe this will help
http://www.khanacademy.org/math/arithmetic/fractions/v/adding-and-subtracting-fractions

Answer 7

sorry was writing it down at the same time

Answer 8

29/6 is what i get

Answer 9

OK, that is the bottom (denominator). Let's look at the top now.
what is
3+1/4 ?

(put 3 over a common denominator of 4 and then add)

Answer 10

12/4

Answer 11

add that with 1/4 and i get 13/4

Answer 12

yes. now we use the great trick when dealing with fractions:
if you multiply the top and bottom by the same thing, you do not change its value
(that is how we changed 3 into 12/4 .... the whole number 3 can be thought of as having a 1 in the "bottom")

so we have
\[ \frac{\frac{13}{4}}{\frac{29}{6} }\]

multiply top and bottom by 6/29

Answer 13

do you find common or just mulitply

Answer 14

where do you get that you multiply both by 6/29

Answer 15

just multiply. like this
\[ \frac{\frac{13}{4} \cdot \frac{6}{29}}{ \frac{29}{6} \cdot \frac{6}{29}}\]

Answer 16

79/116 / 1 is what i get cause the bottom cancells out eash other right

Answer 17

the reason we pick 6/29 is it makes the bottom equal 1, so we can ignore it
anything divided by 1 is itself.

so the problem becomes
\[ \frac{13}{4} \cdot \frac{6}{29} \]

Before multiplying it out I would divide the 4 by 2 and the 6 by 2 to simplify it
\[ \frac{13}{2} \cdot \frac{3}{29} \]

Answer 18

check your multiplication

Answer 19

39/58

Answer 20

yes, and I think that is in lowest (simplest) form.

Answer 21

ok i was lost because when you go to freemathhelp.com they get 177/58

Answer 22

If you multiplied out
13*6/ (4*29) you get 78/116
you can then simplify that to 39/58

Answer 23

It depends exactly what the original problem is. Can you type in the problem
with the correct parens, or show the original?

Answer 24

give me a min i will try to copy and past the problem as it is wrote. i have to sign back in to get it out of the book.

Answer 25

it wont let me but it is 3+1/4 for the num and 5/6+2^2 in the den

Answer 26

I think that the way we did it is right because that is what i orig had for the answer

Answer 27

I can get 177/58 if the original problem is
\[ 3 + \frac{\frac{1}{4}}{\frac{5}{6}+2^2} \]

Answer 28

how did you

Answer 29

get that so i can put both down just in case

Answer 30

If you use order of operations, that is how you would interpret what you posted:
3+1/4 / (5/6+2^2)

however, so many people mean
(3+1/4) / (5/6+2^2)
that I assumed that was the problem.

Answer 31

how did you get the other answer

Answer 32

the bottom is the same as before= 29/6
so multiply top and bottom by 6/29
\[\frac{1}{4}\cdot \frac{6}{29} \]

Answer 33

simplify by dividing the 6 and the 4 by 2, and you get 3/58

Answer 34

now the problem is
3 + 3/58

put 3 over a common denominator of 58

Answer 35

you get
\[ \frac{174}{58}+\frac{3}{58} = \frac{177}{58} \]

Answer 36

sorry got bumped i am going to look at what you put before i got bumped

Answer 37

ty i finally got it do you have time to help with more

Answer 38

x^2-2x+5x-(-x^2+7x)

Answer 39

distribute the -1*(-x^2+7x)
as the first step. that means multiply every term inside the parens by -1

Answer 40

I get the neg and posit mixed up

Answer 41

x^2+-7x i think

Answer 42

-(-x^2+7x) is the same as -1*(-x^2+7x)

which becomes -1* -x^2 + -1*7x
- times - is + (2 minuses become a plus, a minus and a plus become a minus)
so we get
x^2 -7x

Answer 43

or x^2 + -7x though people generally write it as x^2 -7x (fewer symbols)
so now the problem is
x^2-2x+5x+x^2 -7x

combine "like terms" x^2 goes with x^2 , x with x,

Answer 44

It sounds like it's tough out there, getting bumped and frozen!

Answer 45

yes sorry

Answer 46

looking over what you did

Answer 47

so do you get get 2x^2+14x

Answer 48

how did you get 14 x ?

x^2-2x+5x+x^2 -7x
we can "commute" the terms (change their order)
x^2+x^2 + 5x -2x -7x
if we think x^2 are cows and x are horses, how many cows and horses?

or use this idea
(x^2+x^2) + (5x -2x -7x)
factor out x^2 from the first set of parens and x out of the second set
(1+1)*x^2 + (5-2-7)*x

Answer 49

not sure let me look

Answer 50

the pos and neg confuse me is whyi get 2x^2+-4 i know that is not right i am still confused

Answer 51

the 5-2-7 is what confuses me

Answer 52

you mean 2x^2 + -4x (there is an x there, right?)

or more simply
2x^2 -4x

about the signs
you can write , for example 8 + -4 or 8-4
they mean the same thing.

Answer 53

5-2-7 means 5 minus 2 = 3
and then 3 minus 7 which is -4
or think of it as
5 + (-2) + (-7)
you are adding 3 numbers

Answer 54

here is a 5 minute video
http://www.khanacademy.org/math/arithmetic/negative-numbers/v/adding-negative-numbers
that might clear it up?

Answer 55

ok that makes it easier so now we have 2x^2-4x

Answer 56

yes.
what to do next (if anything) depends on the question. often people would factor it to get
2x(x-2)

but it depends...

Answer 57

ok how did you get that

Answer 58

another 5 min video
http://www.khanacademy.org/math/arithmetic/number-properties/v/the-distributive-property

Answer 59

it says to simplify

Answer 60

i think what you got is what they want

Answer 61

to factor 2x^2-4x notice that both terms can be divided by 2. so we divide both terms by 2, but put parens around the answer and put the 2 "out front"
2(x^2-2x)
(we can "undo" this by multiplying each term by 2 to get 2x^2 -4 )

notice that both terms can be divided by x. Do the same thing
2x(x-2)

Answer 62

do you have time for 1 more

Answer 63

solve -9y-12(2-3y)=-25-2(y+6)

Answer 64

*(we can "undo" this by multiplying each term by 2 to get 2x^2 -4x )
fixed a typo

Answer 65

if you distribute the -12 on the left hand side, what do you get?

Answer 66

-24+36y

Answer 67

ok, now simplify the left side
-9y-24+36y

Answer 68

-24+27y

Answer 69

ok, so we have, so far
-24+27y = -25-2(y+6)

distribute the -2 on the right. And write out the whole equation

Answer 70

-25-2y-12
-24+27y=-25-2y-12

Answer 71

I would combine the numbers on the right side: -25-12 = -37
add +24 to both sides of the equation. what do we get. Again write the whole equation.

Answer 72

27y=-13-2y

Answer 73

what do you think we should do next?

Answer 74

add 2y to both sides

Answer 75

we get?

Answer 76

y=-13/29 i hope

Answer 77

yes. looks good.

Answer 78

See
http://www.wolframalpha.com/input/?i=solve+-9y-12%282-3y%29%3D-25-2%28y%2B6%29

Answer 79

ty soooo much i have more but dont want to stress you out lol

Answer 80

post your questions, people will help you. but I am late as it is...

Answer 81

ty again