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OpenStudy (anonymous):
Divide 120 by 37 and give me a mixed number!
I know this is basic but please help me understand it. If you can go step by step!
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OpenStudy (saifoo.khan):
can u join me on twiddla?
OpenStudy (anonymous):
How many times does 120 go into 37?
OpenStudy (anonymous):
If you know that, then all you have to do is find the remainder.
OpenStudy (anonymous):
3
OpenStudy (anonymous):
But finding the remainder and changing it into a mixed number is the hard part for me!
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OpenStudy (anonymous):
Right. So the answer will be 3 and some fraction
OpenStudy (anonymous):
The remainder will be 120 - 3*37
OpenStudy (anonymous):
What do you get for that?
OpenStudy (anonymous):
35.608 or 35.61
OpenStudy (anonymous):
No no. What is 120 - 3 * 37
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OpenStudy (anonymous):
not divided, times.
OpenStudy (anonymous):
116.63
OpenStudy (anonymous):
How do you get a decimal answer?
3*37 = 111
120 - 111 = 9
OpenStudy (anonymous):
So your remainder is 9
OpenStudy (anonymous):
Therefore the mixed number will be 3 and 9/37
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OpenStudy (anonymous):
Sorry my fault i was think sub not multiplication!
OpenStudy (anonymous):
Thanks for the help
OpenStudy (anonymous):
So in general if you have n/d and you want it as a mixed number:
\[\lfloor{n/d} \rfloor \text{ and } \frac{n - \lfloor{n/d} \rfloor}{d}\]
OpenStudy (anonymous):
where \(\lfloor{n/d} \rfloor\) is the whole number of times d goes into n.
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