Math Student Help

I’m in high school going on to college and i still don’t know how to divide fractions. Can someone show me step by step an example of how to. It’s not that i’m slow or anything, but my elementary school that i went to never went over fractions.

Without any explanation of theory the best way I find to do it is to flip one of the fractions and multiply them together. For example:

(2/3) / (4/9)
will then be written as…
(2/3) / (9/4)
You then multiply both the numerators and both the denominators
2*9=18
3*4=12
and you get the answer:
18/12
which can simplify down to
3/2 or 1 and 1/2

hope i helped

Ps it doesn’t matter which fraction you flip as long as its only one that you do flip.

I would like to know the insights of various people, not just scientists, as to what they think happened during the first fractions of a second after the big bang. I’d be thrilled to know every person’s view regarding this. Who knows, maybe a few of you could somehow outsmart those CERN scientists who are now gearing up to test the Large hadron Collider!

In the first fraction of a second after the big bang, there was a very bright light, then the expansion outward of the super hot gases.
So there you have the first second of the big bang.

I understand how to do difference quotient equations, however, I am stuck on getting a common denominator in order to solve an equation with fractions in the numerator. Here are some examples, the form used is f(x + h)- f(x) / h.

ex.
a. y = 1 / 3x + 1, x = 1

b. y = -2 / x + 4, x = 2

Any help would be appreciated!

Where are those fractions in the numerator? I don’t understand what you want. When you have compound fractions, of the sort:

[1/(x + h + 3) - 1/(x + 3)] / h, that last h is a factor of the denominator you get up above in the numerator for the final fration:

[x + 3 - x - 3 - h] / h(x + 3)(x + h + 3)…in general, (A/B)/h = A / Bh

I am in 7th grade gifted math learning algebra and am learning how to solve systems by elimination and substitution. I prefer to use elimination so if you could, try to put it in that way. Well, now we have to learn how to solve them with fractions. Like ….

x+16 1/2 = -3/4y
y = 1/2x

How do I solve problems like this?

You need to modify one of the equations so that either the X value or the Y value will cancel out when added to the corresponding X or Y value of the other equation.

Eliminating the Y’s will become a complete mess because of that -3/4 value so lets eliminate the X value instead.

Step 1: swap the 2nd equation so X is on the other side like so
1/2x=y

Step 2: multiply 2nd equation by -2 like so
-2/2x=-2y

-2/2x simplifies to -x

Step 3: Add equation 1 and 2 with one another like so
x+16.5=-3/4y
-x=-2y
0+16.5=-3/4y -2y

Combine -3/4y and -2y together to get -11/4y (-2y is equivalent to -8/4y so -3/4 -8/4 = -11/4)

Step 4: Start Solving for Y in the new equation you just created (we will call this equation #3)
16.5=-11/4y

Lets change 16.5 into the fraction 33/2 (16 1/2 is a sloppy way to write this number in fraction form)

Step 5: Divide both sides by -11/4 so that Y will be by itself. If you are uncomfortable with dividing by fractions then you can first multiply both sides by 4 and then divide both sides by 11. Or you can simply just swap the fraction around and multiply it with what you have on the lefthand side. The SAME answer results from doing this.

I’ll show both steps:
First is just simply swapping 11/4 to 4/11 and multiplying it with 33/2 to get the fraction 132/22. This is not simplified all the way but we will do that later.
Second method is to multiply both sides by 4 which eliminates the "4" on the righthand side and gives us 132/2 on the lefthand side. Now we divide both sides by 11 to get rid of the 11 on the righthand side and gives us 1/11 times 132/2 on the lefthand side. When we multiply those together we get 132/22 which is the same number we got from doing the first method (first method is much quicker, so get comfortable doing it if you can).

132/22 simplifies to 6/1 which is just "6"

Step 6: Write out our Y value answer
Y = 6

Step 7: Substitute "Y=6" into either the first or second equation (but NOT the third equation) to get the x value.

I’ll let you do that part, good luck

i have so much hard times in pre-algebra and i don’t know how to solve fractions equations addition and subtraction.the problem is k+3 3/4=5 2/3-1 1/3.the problem is i don’t know how to solve it!

I understand the problem is

k + 3 and 3/4 = 5 and 2/3 - 1 and 1/3

Change the mixed fractions into

k + 15/4 = 17/3 - 4/3

k + 15/4 = 13/3

k = 13/3 - 15/4

k = 7/12

Have a good day!

I have a brand new TI-nspire and i don’t know how to enter fractions on it. I use to have just a crappy cheap one, but since i am gonna start Calculus I upgraded. Please note that it does not have the a b/c button.

you can enter them in with ( )
if you have 5/6 you just put it in (5/6)
that way it divided it and it becomes a fraction but doesn’t affect anything else

I’m studying for my GED and I’ve been doing SO well, until I came across canceling and multiplying fractions. I am so lost. I need help. I DON’T get it. One problem I am stuck on is 9/14 times 10/11. Can someone describe to me in FULL detail how to do this? Thanks!

Its one of the easiest things to do…you just multiply straight across… top number * top number and bottom number * bottom number.

so in your example of 9/14 times 10/11 (9*10 = 90) and (14*11 = 154) and you end up with 90/154. However the hard part is that 90/154 can be reduced.

Fractions that need to be reduced is like saying I have 2/4 of a cup of water instead of saying 1/2. This is the hardest part. Finding which number will fit into both the top and bottom number. 6/9 can be reduced to 2/3 by dividing both the top and bottom numbers by 3. But the trick is everything must divide equally without leftovers.

There are a few tricks to help you out. Take the 6/9. use the smallest number (6) and figure out what you can multiply together to get 6. There’s 1×6 and 2×3. 6 doesn’t divide equally into 9 and neither does 2. But 3 does. 6 divided by 3 = 2 and 9 divided by 3 = 3 and you end up with 2/3. This is called reduced by 3 because 3 was the only number that divided equally into both the top and bottom number.

Going back to your problem of 9/14 times 10/11 = 90/154. 90/154 can only be reduced by 2 leaving you with 45/77. I know it’s confusing, but I hope this helps. Good luck on the GED.

The mole fractions of a particular gas in the ambient air is known to me. How could I Convert them to dry air mole fractions? I have Humidity in th air values.

For get gram of humidity we to know Humidity in the air value.for example 20% of particular gas in the ambient air is humidity so in 100g of this air is 20g humidity. then we have to minus humidity from the ambient air. then we have it.

How do you mutiply fractions by a number?

Such as 8(3/4)
or -14(5/8)

How exactly do you complete this? Without a calculator? Most explanitive gets 10pts :] And no it’s not for homework.

you take the whole number and put it over 1 as denominator and then multiply the problem nominator x nominator /denominator x denominator and you should get either a fraction or a whole number. it depends which one you are given

I need help also with checking fractions on a number line i dont get how you do it?

lets say you have 3/4. divide 3 by 4 and you have .75.

on a number line youd have *= .75. + is 0 and 1

+…………..*….+