Fraction and addition - problem?

7

12

+

8

15

I used the LCD (least common denominator method) and itresulted in,

FLAPJACKS

35

60

and

32

60

I added the nominators together and got

67

60

Now what do I do with this fraction? To make it make senseand be a proper fraction? I tried myself and got

67

127

That was by adding 67 and 60 together then just putting the60 back under.

Re: Fraction and addition - problem?

That is very badly written. If you don't want to use LaTeX, at least write it as 7/12+ 8/15

Yes 67/60 is the correct answer. Whether you write that as 67/60 or "1 and 7/60" depends upon what you want to with it, which you prefer and, perhaps most importantly, **what you teacher wants**.

But when you say "That was by adding 67 and 60 together then just putting the60 back under." I have absolutely no idea **why** you would add the numerator and denominator. There NO arithmetic operation that requires that.

Re: Fraction and addition - problem?

Quote:

Originally Posted by

**HallsofIvy** That is very badly written. If you don't want to use LaTeX, at least write it as 7/12+ 8/15

Yes 67/60 is the correct answer. Whether you write that as 67/60 or "1 and 7/60" depends upon what you want to with it, which you prefer and, perhaps most importantly, **what you teacher wants**.

But when you say "That was by adding 67 and 60 together then just putting the60 back under." I have absolutely no idea **why** you would add the numerator and denominator. There NO arithmetic operation that requires that.

What is LaTex? I was going to use / but I figured it might be confused with division which is quite a stupid idea since I mentioned fractions in the title. Well I have not had a teacher in nearly 4 years, I'm really awful with math but I've pretty much had to start my maths education starting from basics upwards in the past month due to a test to join a job. I should've listened in school but my class was very bad due to us being in the bottom set and all, I guess you would know if you are a retired teacher?

I remember a YouTube video saying something about adding them together, must've of been with a different fraction problem, I can't remember.

Re: Fraction and addition - problem?

Quote:

Originally Posted by

**Subliminalmessage** What is LaTex? I

It is code.

[TEX]\frac{7}{12}+\frac{8}{15} [/TEX] gives $\displaystyle \frac{7}{12}+\frac{8}{15} $

Re: Fraction and addition - problem?

I've always found it's a lot more time efficient to go by the following expression:

$\displaystyle \frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd} $

Arithmetic example:

$\displaystyle \frac{2}{3} + \frac {3}{4} = \frac{ (2 \times 4) + (3 \times 3)}{(3 \times 4)} = \frac{8 + 9}{12} = \frac{17}{12}$

Algebraic example:

$\displaystyle \frac {(x + 2)^2}{8xyz} + \frac {(x+4)^2}{5zy^2} = \frac{\left[(x + 2)^2 \times 5zy^2\right] + \left[8xyz \times(x+4)^2\right]}{8xyz \times 5zy^2} $

Notice, it's more difficult to spot the LCD with algebra.

Re: Fraction and addition - problem?

I don't have a clue what algerbra is really, I've only ever touched on it once or twice and that was years ago. Please give me a rough idea on what it is about? Why is it needed and does it deserve the title of being hard and complicated?

Re: Fraction and addition - problem?

67/60 is correct, but you're left with a improper fraction. It really depends on what the question or teacher wants. In order to change that from a improper fractions you need to divide. 67 divided by 60 is 1, with a remainder of 7. Keep the denominator and you would have 1 7/60.

Re: Fraction and addition - problem?

Quote:

Originally Posted by

**Subliminalmessage** I don't have a clue what algebra is really, I've only ever touched on it once or twice and that was years ago. Please give me a rough idea on what it is about? Why is it needed and does it deserve the title of being hard and complicated?

If I were you, I would go and find an elementary book on high school maths with a cumbersome number of problems to solve. That's what I did. Keep returning to it, iron out your mistakes and 'things' start to become second nature. Then you are in a position to move on to the next level, and so on.

I'm not really the one to answer that question; I'm still a rookie. All I know is, maths can solve a lot of problems. I'm an engineer student. I wouldn't be able to survive on my course if I didn't put a significant amount of hours into maths associated with my spare time.

From a rookie's point of view, algebra can solve an unknown quantity (s).

For example, consider a simple equation:

$\displaystyle 4x + 2 = 18 $

What is x?

$\displaystyle 4x = 18 - 2 $

$\displaystyle 4x = 16 $

$\displaystyle x = \frac{16}{4} $

$\displaystyle x = 4$

Now you can sub in this x value into the inital equation $\displaystyle 4x + 2 = 18 $ because it is the solution.

Therefore:

$\displaystyle (4 \times 4) + 2 = 18 $

$\displaystyle 16 + 2 = 18 $

$\displaystyle 18 = 18 $