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29 votes
29 votes
Can you solve 3 5/12 + 1 3/8 ?

User Timoschloesser
by
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1 Answer

24 votes
24 votes

Answer:

4 19/24

Step-by-step explanation:

First, we need to convert the mixed numbers into a fraction, so:


\begin{gathered} 3(5)/(12)=(3*12+5)/(12)=(36+5)/(12)=(41)/(12) \\ 1(3)/(8)=(1*8+3)/(8)=(8+3)/(8)=(11)/(8) \end{gathered}

Then, we can add the fractions as follows:


(41)/(12)+(11)/(8)=(41(8)+12(11))/(12(8))=(328+132)/(96)=(460)/(96)

Finally, we can simplify the fraction and write the fraction as a mixed number as:


(460)/(96)=(460/4)/(96/4)=(115)/(24)
(115)/(24)=4(19)/(24)

Because when we divide 115 by 24, we get 4 as a quotient and 19 as a remainder.

Therefore, the answer is: 4 19/24

User Dave Carlile
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