Proof of Angles: Does it Seem Correct?

[chemistry1]

http://postimg.org/image/3mmlbro1p/
Hi, I just want to know if my proof seems ok.

So we can begin with :

1 degrees = 1+1/9 grads

we multiply by x to generalize

x degrees= x+x/9 grads

now, we take x degrees and multiply it by 60 minutes to know how many minutes it makes.We also do the same with x+x/9 grads but we multiply it by a 100 minutes. After, we put this form :

60x degrees/(100x+100x/9) grads

we simplify it :

60x/(1000x/9)grads

60x * 9/1000x

We cancel and simplify

3*9/50

Which finally gives us 27/50 for any 'x'.

Does this seem correct ? Thank you !

 

[scurty]

That seems to work. You can simplify the process by a few steps by doing

$\displaystyle\frac{60(x-\frac{x}{10})}{100(x)}$ instead.

 

[Mark44]

http://postimg.org/image/3mmlbro1p/
Hi, I just want to know if my proof seems ok.

So we can begin with :

1 degrees = 1+1/9 grads

It's a bad idea to use mixed numbers like 1 + 1/9, because it makes the calculations more difficult.

1 deg. = 10/9 grads

we multiply by x to generalize

x degrees= x+x/9 grads

x deg. = (10/9)x grads

now, we take x degrees and multiply it by 60 minutes to know how many minutes it makes.We also do the same with x+x/9 grads but we multiply it by a 100 minutes. After, we put this form :

60x degrees/(100x+100x/9) grads


we simplify it :

60x/(1000x/9)grads

60x * 9/1000x

We cancel and simplify

3*9/50

Which finally gives us 27/50 for any 'x'.

Does this seem correct ? Thank you !

 

[chemistry1]

Ok, thanks for the info !