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Note that 90 is a common multiple rather than a common factor, Anonymous.

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Thanks CPhill and HeadingNorth,

MathsGod1, you answer had nothing to do with the question LOL 

BUT

You did the fraction addition perfectly  

3 points for all of you from me 

That is really cute, thanks Civonamzuk  :))

HeatherF, the ads change all the time.  Sometimes there isn't any :))

Oh, ok fair enough.  I teach it without the steps inbetween :)

Another on for you MathsGod1

Thanks Alan, I forgot to include that bit   

You can use the units to help you

$$\\\not{km}\times \frac{hours}{\not{km}}=hours\\
so\\
\not{km}\div \frac{\not{km}}{hours}=hours\\
so\\
3.3\not{km}\div \frac{3\not{km}}{hours}=3.2\div 3 hours\\
that's\\
1.0\bar6\;\;hours \\
and\\
0.0\bar6\;\;hour=0.1\times 60 =4\;\;minutes\\
$So that is$ \\
$1 hour and 4 minutes$$$

y=4^x is exponential

$$1\frac{4}{25}\times{2\frac{3}{20}}$$  First change them into impropper fractions

$$\frac{29}{25}\times\frac{43}{20}$$  Multiply the numerators and denominators

$$\left({\frac{{\mathtt{29}}}{{\mathtt{25}}}}\right){\mathtt{\,\times\,}}\left({\frac{{\mathtt{43}}}{{\mathtt{20}}}}\right) = {\frac{{\mathtt{1\,247}}}{{\mathtt{500}}}} = {\mathtt{2.494}}$$

Yes that was a great problem.  Thanks anons   (provider and answerer:))

I have added this to our logic puzzle thread    

31/100

get both denominators to 100

x numerator and denominator with same no.

you need to get 25 and 20 to the same denominator

like 100

so you x 4  to 4/25

and x 5 to 3/20

and you should get...

1 16/100 + 2 15/100 = 31/100

Well I like to show the in-between steps because I think it makes it easier to understand but once you know the rule you can just cut straight to the answer.

1 16/100 + 2 15/100 = 31/100

Oh I did not do the correct question  

$$\frac{x}{2^{-3}}=\frac{x*2^{+3}}{1}=8x$$

Hi Zac,

you always get these correct but you do not need to make them looks so complicated.

$$\\2^{-3}=\frac{2^{-3}}{1}\\\\
$Now anything raised to a neg power gets swapped to the other side of the fraction line, and anything not raised to a negative power stays where it is$\\\\
$So the 1 stays , the $2^{-3}$ goes to the other side of the fraction line and the - becomes a +. $\\\\
$There is nothing on the top any more so just put a 1 there$\\\\
\frac{2^{-3}}{1}=\frac{?}{1*2^{+3}}=\frac{1}{2^{3}}\\\\$$

Once you do a couple you wil see that it is heaps easier.   

90,

45 x 2 = 90

18 x 5 = 90

Factors of 45:   1, 3, 5, 9, 15, 45

Factors of 18:  1, 2, 3, 6, 9, 18

I'll leave you to select the common ones.

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For example:

$${\frac{{\mathtt{x}}}{{{\mathtt{2}}}^{-{\mathtt{3}}}}}$$

$${\frac{{\mathtt{x}}}{\left({\frac{{\mathtt{1}}}{{{\mathtt{2}}}^{{\mathtt{3}}}}}\right)}}$$

$$\left({\frac{{\mathtt{x}}}{{\mathtt{1}}}}\right){\mathtt{\,\times\,}}\left({\frac{\left({{\mathtt{2}}}^{{\mathtt{3}}}\right)}{{\mathtt{1}}}}\right)$$

$${{\mathtt{2}}}^{{\mathtt{3}}}{\mathtt{\,\times\,}}{\mathtt{x}}$$

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