Question 1183887
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We will be happy teach you and help you,  but under one indispensable condition:



<H3>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;You will post ONE and ONLY ONE problem per post.</H3>


It is the &nbsp;RULE &nbsp;and the &nbsp;POLICY &nbsp;of this forum.




&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Please respect the rules and the tutors.



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This time I will do for you &nbsp;&nbsp;# &nbsp;5 &nbsp;&nbsp;only.



5. &nbsp;&nbsp;It took Nilo five thirds of an hour to complete his &nbsp;Math on &nbsp;Wednesday, &nbsp;three fourths of an hour on &nbsp;Thursday, 
and five sixths of an hour on &nbsp;Friday. &nbsp;How many hours did he take to complete his homework altogether?



<pre>
    {{{5/3}}}  of an hour on Wednesday;

    {{{3/4}}}  of an hour on Thursday;

    {{{5/6}}}  of an hour on Friday.


They want you ADD these three fractions and find their sum


    {{{5/3}}} + {{{3/4}}} + {{{5/6}}}


To add fractions, you write them with the common denominator, which is the number 24.


So, I write the fraction (separately) with the common denominator


    {{{5/3}}} = {{{(5*8)/(3*8)}}} = {{{40/24}}};

    {{{3/4}}} = {{{(3*6)/(4*6)}}} = {{{18/24}}};

    {{{5/6}}} = {{{(5*4)/(6*4)}}} = {{{30/24}}}.


Now we can easily add our fractions


      {{{5/3}}} + {{{3/4}}} + {{{5/6}}} = {{{40/24}}} + {{{18/24}}} + {{{20/24}}} = now I add the numerators and use the common denominator = {{{(40+18+20)/24}}} = 

    = {{{78/24}}} = {{{(72+6)/24}}} = {{{(3*24+6)/24}}} = 3 {{{6/24}}} = 3 {{{1/4}}} hours = 3 hours and 15 minutes.
</pre>

The solution is completed.  &nbsp;&nbsp;&nbsp;&nbsp;The answer is  &nbsp;&nbsp;3 &nbsp;hours and &nbsp;15 &nbsp;minutes.



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There is another way to solve the problem.


It is to convert every fraction from hours to minutes and add minutes.


<pre>
    {{{5/3}}}  of an hour = 5*20 minutes = 100 minutes.

    {{{3/4}}}  of an hour = 3*15 minutes = 45 minutes.

    {{{5/6}}}  of an hour = 5*10 minutes = 50 minutes.


Total time = 100 + 45 + 50 minutes = 195 minutes = 180 minutes + 15 minutes = 3 hours and 15 minutes.



You get THE SAME answer.
</pre>

Solved two times by different methods for your better understanding.



Do you understand everything and every step ?


Please let me know.



Happy learning (!)



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In order for better understand your needs, &nbsp;may I ask a question ?


In your post, &nbsp;I see the problems for totally different ages and levels.


Problem &nbsp;5 &nbsp;is for &nbsp;4th grade level;

problems &nbsp;3 &nbsp;and &nbsp;4 &nbsp;are for &nbsp;7th-8th &nbsp;grade.



&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Why do you combine different level problems into one package ?