Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

**mandy jane****Member**- Registered: 2010-09-23
- Posts: 1,012

I have 1/3= 6/18 but can't get 5/6 = /18 can you help me out?

Offline

**SteveB****Member**- Registered: 2013-03-07
- Posts: 559

The answer to that bit is (15 / 18)

You needed to do 5 x 3 = 15 for the top part. (Also note that 6 x 3 = 18)

Offline

**mandy jane****Member**- Registered: 2010-09-23
- Posts: 1,012

So is the answer 21/18 am I right?

Offline

**SteveB****Member**- Registered: 2013-03-07
- Posts: 559

Yes now in the question I said that there are two ways you can finish the question off.

(a) A top heavy fraction. (For this you just need to cancel it into its lowest terms, but it is already top heavy in fact.)

(b) A mixed number or a number followed by a fraction as I put it. (Can you see what this is ?)

Hint for (a) divide top and bottom by 3

Hint for (b) take away the whole number one, and present as 1 and a fraction.

*Last edited by SteveB (2013-04-22 02:54:18)*

Offline

**mandy jane****Member**- Registered: 2010-09-23
- Posts: 1,012

Ok I will try to finish this for you tomorrow and try to do some of the others as well ok? Hope this is okay with you? So see you at 2.00pm tomorrow ok?

Offline

**SteveB****Member**- Registered: 2013-03-07
- Posts: 559

*Last edited by SteveB (2013-05-10 05:03:01)*

Offline

**SteveB****Member**- Registered: 2013-03-07
- Posts: 559

I have thought of a good illustration for the adding of (1/3) + (5/6) = (2/6) + (5/6) = (7/6)

or alternatively (1/3) + (5/6) = (6/18) + (15/18) = (21/18) = (7/6)

Both are the same calculation, but with different denominators. (6 and 18 respectively)

*Last edited by SteveB (2013-05-10 04:39:35)*

Offline

**SteveB****Member**- Registered: 2013-03-07
- Posts: 559

The image to illustrate the above post should be in this post. I have noticed that you cannot type in any Latex in the same

post as an image upload.

Note that the top left and top right illustrations both represent the fractions (1/3) = (2/6) = (6/18)

The middle two represent (5/6) = (15/18)

The lowest two represent the answer to the addition: (21/18) = (7/6) [As a mixed number this is 1 and a sixth see Latex in above post.]

Question to Mandy: Have you understood this illustration ? Do you have any questions about it ?

*Last edited by SteveB (2013-05-10 05:03:26)*

Offline

**SteveB****Member**- Registered: 2013-03-07
- Posts: 559

To Mandy: Hi SteveB here.

Send email or post reply please ?

It would be a good idea for you to give me an indication of what you think you would like to do next.

Some good ideas might be:

(1) Continue with those 10 questions from the point that you have got to.

(2) Do more on fraction addition.

(3) Ratio

(4) Percentages

(5) Time. Be more specific because a huge number of maths questions use time in different ways and levels of difficulty.

*Last edited by SteveB (2013-05-17 01:51:05)*

Offline

**mandy jane****Member**- Registered: 2010-09-23
- Posts: 1,012

Hi steveb mandy here could you send me some questions on fractions and percentage please so I can do them for you by tomorrow ok?

Offline

**SteveB****Member**- Registered: 2013-03-07
- Posts: 559

Okay I can do that. Before I do. There were a few percentage questions in the original 10.

Do you want some extra ones to those? Were the ones I gave you too difficult ?

Offline

**mandy jane****Member**- Registered: 2010-09-23
- Posts: 1,012

Could I have some more as well as them please and could you send me some questions to try to do on something different please?

Offline

**SteveB****Member**- Registered: 2013-03-07
- Posts: 559

Okay. I will think up some ideas and send you an email.

Offline

**mandy jane****Member**- Registered: 2010-09-23
- Posts: 1,012

Ok what for email from you ok?

Offline

**mandy jane****Member**- Registered: 2010-09-23
- Posts: 1,012

Mandy jane here anyone else out there that know me then send me a message please?

Offline

**SteveB****Member**- Registered: 2013-03-07
- Posts: 559

Mandy: I have decided to post the first of those questions that I gave you on Friday:

(Q1)

*Last edited by SteveB (2013-05-21 02:47:05)*

Offline

**mandy jane****Member**- Registered: 2010-09-23
- Posts: 1,012

Hi steveb mandy here can you show me how to do this again please,please ihave forgot how to do them?

Offline

**SteveB****Member**- Registered: 2013-03-07
- Posts: 559

With this one I would make sure that the denominators are the same first (the denominator is the number under the line).

So since the denominators are 4 and 5, it is best to multiply them.

This gives us 20.

To get the denominator to be 20, we have to multiply both numerator and denominator to make it this amount.

If you don't do this they will no longer represent the same amount mathematically.

*Last edited by SteveB (2013-05-21 02:56:24)*

Offline

**SteveB****Member**- Registered: 2013-03-07
- Posts: 559

Now that the denominators are the same the addition is easy:

The second one was:

Do you want to have a go at this one yourself ?

*Last edited by SteveB (2013-05-21 03:02:29)*

Offline

**mandy jane****Member**- Registered: 2010-09-23
- Posts: 1,012

Is the answer 2/21 or not?

Offline

**SteveB****Member**- Registered: 2013-03-07
- Posts: 559

The choice of denominator of 21 is okay.

However the fraction (2/21) is not correct.

Let's look first at the fraction (2/7).

In order to make this stay the same the numerator has to go up by the same factor (or multiple).

This will need you to multiply top and bottom by 3. Try again ?

EDIT: Be careful not to confuse multiplication of fractions with addition.

*Last edited by SteveB (2013-06-19 02:38:43)*

Offline

**mandy jane****Member**- Registered: 2010-09-23
- Posts: 1,012

3x2=7 7x7=14 am I right?

Offline

**mandy jane****Member**- Registered: 2010-09-23
- Posts: 1,012

2x3=6 3x7=21 am I right?

Offline

**SteveB****Member**- Registered: 2013-03-07
- Posts: 559

The second attempt, which I originally did not see because I was writing my post at the same time as yours, was correct.

2 x 3 = 6

7 x 3 = 21

So (2/7) = (6/21)

The next step is to do something similar to the fraction: (1/3)

*Last edited by SteveB (2013-06-19 02:37:08)*

Offline

**mandy jane****Member**- Registered: 2010-09-23
- Posts: 1,012

Ok I will do this and send it to you later today or tomorrow ok she new puppy is playing me up at the moment if ok with you?

Offline