RUNNING LAST YEAR AN ATHLETES AVERAGE TIME TO RUN A MILE WAS 6MINS 13S. THIS YEAR THE AVERAGE TIME IS 6MINS 5S. WHAT IS THE PERCENT DECREASE? ROUND TO NEARTEST PERCENT.
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First we subtract: 6min 13sec - 6min 5sec = 8 seconds.
Next we put that in fraction over our original time: 8sec / 6min 13sec
Then we need like terms: Since 1min = 60sec, we multiply it by 60. 6min * 60sec = 360sec + 13sec = 373sec
This equals: $${\frac{{\mathtt{8}}}{{\mathtt{373}}}} = {\mathtt{0.021\: \!447\: \!721\: \!179\: \!624\: \!7}}$$ which round down to 0.02. We multiply it by 100 (percent are out of 100), and we get approximately 2%, because it's not exact.
No problem. I was glad to help. If my answer was helpful you can "thumbs up" my answer.
Thank you. Hopefully I gave a good explanation (and an accurate answer.)