Kermit calculated that the average number of flies eaten per minute by this tree frog is 1.090909091 He found this by dividing a whole number of flies by a whole number of minutes. What were those two whole numbers? |
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"What is the answer to November 6ths starter of the day?" Vanessa Howe, howesvc@aol.com
"Its 108/99. I used it today before i did "changing recurring decimals into fractions Y10 MOD 3." Sarah, Newcastle
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Keywords: Starter
| Arithmetic
Monday, November 06, 2006
Monday, November 06, 2006
Good, achieved the results I required
Satisfactory
Didn't really capture the interest of the students
Not for me! I wouldn't use this type of activity.
This starter has scored a mean of 3.4 out of 5 based on 30 votes.
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This problem can be solved by "trial and improvement" or as follows.
Let us assume that the calculator Kermit used has rounded of a recurring decimal. Let this number be x.
x = 1.090909....
100x = 109.090909.....
Subtract the first equation from the second
99x = 108
x = 108/99
x = 12/11
So the two numbers were 12 and 11 (or any multiples of them).

12 flies in 11 minutes!
