Question

22' 36" is the same as _____. Round to the nearest hundredth of a degree Answer:

Answer 1

as you know, there are 60 minutes per degree and 60 seconds per minute.

so in 36", there are 36/60 minutes, or 0.6' then.

now, we already have 22' before that, so is really 22 + 0.6 or 22.6'.

how many degrees?  22.6/60 degrees, or... well, surely you'd know that.

Answer 2

The answer is:  " 0.37 degrees" ;  or, write as:  " 0.37 ° " .
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Explanation:
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Given:  22' 36'' ; or:  "22 minutes and 36 seconds" ;  

  →  Convert to "degrees" ; to the nearest "hundredth" ; 
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  →  22 minutes and 36 seconds = 22  $\frac{36}{60}$ minutes .
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{Note the following "exact measurements" :

  "60 minutes = 1 degree" .

  "60 seconds = 1 minute" .} .
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Note:  $\frac{36}{60}$  ; 

 =  "  $\frac{(36/12)}{(60/12)}  =   \frac{3}{5}  =  \frac{(3*2)}{(5*2)}  =  \frac{6}{10}$  "   ;
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or:  "  $\frac{36}{60}$ = $\frac{(36/6)}{(60/6)} = \frac{6}{10}$ " ;
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                →   "  \frac{6}{10} [/tex]  =  0.6 " . 
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As such:  

               →  "  22' 36"  =  22 $\frac{36}{60}$  ;

                                       =  22 \frac{6}{10} [/tex]  ; 

                                       =  22.6 '  ; 
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Since:  60 minutes = 1 degree ← {exact measurement}.

22.6 minutes * (1 degree/ 60 minutes) =  [(22.6 * 1) / 60] degrees; 

                                                                = [(22.6) / 60] degrees ; 

                                                                =  0.3766666666666667 degrees ; ____________________________________________________________
  →  We are asked to round to the nearest "hundredth" degree.

  → Given:  "0.3766666666666667 degrees" ;

We examine:  "0.376 "  ;  
      →   Look at the number in the "thousandths place";  if it is 5 to 9, we round up;
if it is 0 to 4, we round down.   In this case, the number is "6" (which is "5 to 9"), so we round up.
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      →  The answer is:  " 0.37 degrees" ;  or, write as:  " 0.37 ° " .
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