Asked by DRAKE
tobis,marcus,and dominic rode their bicycles to the arcade. tobis rode 12/5 miles, marcus rode 2 1/3 miles and dominic rode 9/4 miles. Which person rode closest to 2 miles?
Answers
Answered by
Steve
one way is to convert all to decimals and compare.
the other way is to recall that for a given numerator, the larger the denominator, the smaller the value.
That is 1/10 is less than 1/7, and so on
Now, you have several numbers which are all greater than 2 by some amount Those amounts are
2/5, 1/3, and 1/4
We already know that 1/4 is less than 1/3.
2/5 = 6/15
1/3 = 5/15
so 1/3 is less than 2/5
so we see that 2 1/4 is the smallest of the three values. It exceeds 2 by the smallest amount.
the other way is to recall that for a given numerator, the larger the denominator, the smaller the value.
That is 1/10 is less than 1/7, and so on
Now, you have several numbers which are all greater than 2 by some amount Those amounts are
2/5, 1/3, and 1/4
We already know that 1/4 is less than 1/3.
2/5 = 6/15
1/3 = 5/15
so 1/3 is less than 2/5
so we see that 2 1/4 is the smallest of the three values. It exceeds 2 by the smallest amount.
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