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How do you know which coins could be used to show 0.77 of a dollar?
Patrickallain
I'm going to use US currency, since those are the denominations I know off hand, but will describe the general process.
Take the highest valued coin that is less than the fraction. In this case, we'll use the half dollar, which equals 0.5 of a dollar. Now we count how many times that value goes into 0.77 which is once. So, we note that we used 1 half dollar and subtract its value from the 0.77. This equals 0.27, so we have that much left unaccounted for.
Now we do the same thing with 0.27. A quarter is 0.25 so we can use that. 0.25 can only go into 0.27 once so we will note that we currently have 1 half dollar and 1 quarter. Now we subtract 0.25 from 0.27 which leaves 0.02 that we need to account for.
The only coin left is the penny which is 0.01. 0.01 will go into 0.02 twice, so we have two pennies to add to our list. Adding those two pennies together equals 0.02 which is the value we have left. So our list is done and we have our answer.
Our answer is 1 half dollar, 1 quarter, and 2 pennies
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∙ 9y ago
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