Maths Question

[razorback]

explain why 3 5/8 =58/16

[Captain2]

3 5/8 = 24+5/8 = 29/8 so double top and bottom = 58/16

[mushroom25]

3 = 24/8.
+ 5/8 = 29/8.

= 58/16.

simples.

[sandyRoe]

58/16 can also be written 29/8. 3 + 5/8 = 29/8

[Zacs-Master]

0r 116/32 or 232/64 or.......

[stuey]

Or, if one considers the space to be a typo, 35/8 is actually 70/16:)

[sandyRoe]

but 70/16 isn't the equal of 58/16. ☺

[maggiebee]

Duh - couldn't even get O level arithmetic so this leaves me cold lol. Mind you I have got better with age as it all makes more sense now.

[stuey]

When I first saw the question I thought it said thirty-five eighths and then I realized it was three and five eighths.

[VHG]

When you have a fraction you can double or halve both numbers and it stays the same.

So 1/2 (half) is the same as 2/4 (half) and 4/8 (half) or 8/16 (half) or 16/32 (half)

A whole number, like the number 1, COULD be shown as 8/8 (or 16/16)

So the number 3 and 5/8 could be shown as:

8/8 + 8/8 + 8/8 + 5/8

and if you add up all the top numbers it becomes 29/8

And as I said, you can double both numbers as follows so it becomes

58/16

And 58/16 is the same as 29/8

[Old_Geezer]

Because it isn't 59/16ths.

[Mick-the-Miller]

Because 58/16 = 3 10/16 which is the same as 3 5/8 - simples!

[EDDIE51]

3 is 48 16ths
5/8 is 10 16ths so 48
+10
___
58 ( = 58/16 )

[Prudie]

Lol everyone likes to have a go, everyone is entirely correct but razorback hasn't said a word. Jim where's your input???

[EDDIE51]

^^ I had that written as an addition sum 48 + 10 = 58
forgot you can't do maths notation on here

[mibn2cweus]

3 5/8 or 58/16 both express the same quantitative value.

Converting the first two terms (3 + 5/8) into units used by the last term:

3 * 16/16 = 48/16

5/8 * 16/16 = (16 * 5 / 8)/16 = 10/16

then adding these together we find that:

3 5/8 = 48/16 + 10/16 = 58/16

[razorback]

i have replied prudie as this was a question in my sons school which was having a look at and this is the one i couldn`t work out for myself

[fiction-factory]

Is your son now comfortable with how to do questions like this? If not, he may want to work through this
http://www.mathsisfun.com/improper-fractions.html

[razorback]

thank you all think ive learnt something now and thank you fiction factory for the web site