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Mathematics 5 Online
OpenStudy (x__hazel__x):

Please help! Question attached below! :3

OpenStudy (x__hazel__x):

OpenStudy (kropot72):

Do you want to go thru it step by step?

OpenStudy (x__hazel__x):

sure! :3

OpenStudy (kropot72):

Good. It might help if the fractions are separated from the whole numbers, as follows: \[\large 10+3+2+\frac{5}{8}+\frac{5}{8}+\frac{3}{8}=n+12\] Now are you able to add just the three fractions?

OpenStudy (x__hazel__x):

yes, thank you!

OpenStudy (x__hazel__x):

I got 16.625

OpenStudy (kropot72):

For example: \[\large \frac{2}{9}+\frac{5}{9}+\frac{7}{9}=\frac{14}{9}=1\frac{5}{9}\]

OpenStudy (x__hazel__x):

Ohh, I got 16.625

OpenStudy (kropot72):

Please just add the three fractions as follows: \[\large \frac{5}{8}+\frac{5}{8}+\frac{3}{8}=?\]

OpenStudy (x__hazel__x):

okay!

OpenStudy (x__hazel__x):

I got 1.625

OpenStudy (kropot72):

Correct, although it is best written as a fraction. the reason being that the answer choices are mixed numbers. \[\large 1.625=1\frac{5}{8}\] Do you understand this point?

OpenStudy (x__hazel__x):

Thank you!

OpenStudy (x__hazel__x):

but there is no option like that? :3

OpenStudy (kropot72):

So now we have dealt with the sum of the 3 fractions, the calculation can be written as follows: \[\large 10+3+2+1\frac{5}{8}=n+12\] Can you add the four numbers on the left hand side of the above equation?

OpenStudy (kropot72):

Just add the numbers as follows: 10 + 3 + 2 + 1 = ? Then put five-eighths on the end of the result.

OpenStudy (x__hazel__x):

10+3+2+158 = 1.625 + 12 = 13.625

OpenStudy (x__hazel__x):

10 + 3 + 2 + 1 = 16

OpenStudy (x__hazel__x):

what are the five-eighths?

OpenStudy (kropot72):

\[\large 1\frac{5}{8}=1+\frac{5}{8}\] We already included the value 1 in the total 16. Now we need to add the five-eighths, giving: \[\large 16\frac{5}{8}=n+12\]The final step is to solve this equation by subtracting 12 from the left hand side and subtracting 12 from the right hand side: \[\large 16\frac{5}{8}-12=n+12-12\]

OpenStudy (x__hazel__x):

okay, I have 7 minutes left for the answer, lol XD

OpenStudy (kropot72):

As you can see, the 12's cancel out on the right hand side of the equation, leaving us with n. What will be the result on the left hand side?

OpenStudy (x__hazel__x):

4.625

OpenStudy (kropot72):

\[\large 16\frac{5}{8}-12=?\]

OpenStudy (x__hazel__x):

4.625?

OpenStudy (kropot72):

Yes, and putting the decimal result as a mixed number we get: \[\large 4.625=4\frac{5}{8}=n\]

OpenStudy (x__hazel__x):

Thank you! Is that the answer? :3

OpenStudy (kropot72):

You're welcome :) You now have found the correct answer.

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