Question

17cm per minute = meters per hour

Answer 1

Answer:  10.2 meters per hour; or, write as: 10 ⅕ meters per hour.
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Explanation:
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Note: "h" = time in "hour(s)" ; 
         "cm" = length in "centimeter(s)" ;
         "min" = time in "minute(s)";
            "m" = length in "meter(s)"
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Note these EXACT conversions:
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100 cm = 1 m ; 
   60 min = 1 h ;
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To solve: 

Given: 17 cm / min ; convert to:  ________ m / h 
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(17 cm / min)* (1 m /100cm) * (60 min / 1 h)  = _______ m / h
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The "cm" units cancel to "1"; the "min" units cancel to "1" and we are left with units of "m/h" {"meters per hour"}.
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We are left with (17 *1 m * 60) / (100 * 1 h) =  [(17 * 60) m] / [100 h] 
                                                                 =  [(17 *60) / 100 ] meters per hour.
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To simply: (17 * 60) / 100 ;
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Method 1):  To simplify: (17 * 60) / 100 ;

→Rewrite as: (17*60) / 100 = (17*20*3)/(20*5) ;  
→Cancel out the "20's "; and rewrite as: 

→ (17*60) / 100 = (17*3)/5 = 51/5 
                           = 10.2 meters per hour; or, write as: 10 ⅕ meters per hour.
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Method 2) To simplify: (17 * 60) / 100 ; Use calculator (or by hand):
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→ (17 * 60) / 100 = 1,020 /100 
                             = 10.2 meters per hour; or, write as: 10 ⅕ meters per hour.
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Method 3) To simplify: (17 * 60) / 100 ;
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→ (17 * 60) / 100 = ? ;  

→ Divide BOTH the "100" AND the "60" by "10";

        → 60÷10 = 6 ; 100÷10 =10; and rewrite—replace the "60" with a "6"; and replace the "100" with a "10" ;
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→ (17*60)/100 = (17*6)/10 = 102/10

                         = 10.2 meters per hours; or, write as: 10 ⅕ meters per hour.
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