The correct answer, in minutes, is: " 16 [tex]\frac{1}{3}[/tex] minutes ".
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[Note: This is the same value as " 16 minutes and 20 seconds."].
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Step-by-step explanation:
Convert 980 sec to "minutes".
Note the exact conversion:
60 sec = 1 minute.
So: Given the values in this question:
60 sec / 1 minute = "x minutes/ 980 sec" ;
that is:
" [tex]\frac{980 sec}{1} *\frac{1 min}{60 sec}[/tex] " ;
The units: "sec" ["seconds"] cancel out to: " 1 " ;
since: " [sec / sec = 1 ] ; and we can simplify and rewrite:
" [tex]\frac{980 min}{60} = \frac{980}{60}[/tex] min."
→ Now, cancel out the last numerical value of "zero"
(in both the numerator and the denominator); that is: to simplify the expression further—by dividing each side by "10" ;
to get: " [tex]\frac{98}{6}[/tex] min."
Then: divide the numerator by the denominator:
"[ 98 ÷ 6 = 16 [tex]\frac{1}{3}[/tex] minutes ] ; — which is our answer.
Note: "1/3" of: "1 minute" = (1/3)*(60 seconds) = 20 seconds.
So; "16 1/3" minutes = 16 minutes and 20 seconds".
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The correct answer, in minutes, is: " 16 [tex]\frac{1}{3}[/tex] minutes ".
[Note: This is the same value as " 16 minutes and 20 seconds."].
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Hope this answer and explanation is helpful to you!
Best of luck to you!
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