126k views
4 votes
Evaluate 4 3/8-2 1/6+3 5/12 write the answer as a mixed number in simplest form

User DanRedux
by
8.4k points

1 Answer

4 votes

We want to do the following sum


4(3)/(8)-2(1)/(6)+3(5)/(12)

To do it, we can sum all the integer values and after looking at the fractions and do the adjustments, first, sum the integer values:


\begin{gathered} 4-2+3=5 \\ \end{gathered}

Now, let's look at the fractions


(3)/(8)-(1)/(6)+(5)/(12)

I'll do the subtraction first, then


(3)/(8)-(1)/(6)=(3\cdot6-8)/(8\cdot6)=(18-8)/(48)=(10)/(48)=(5)/(24)

And now we do the sum


(5)/(24)+(5)/(12)=(5)/(24)+(10)/(24)=(5+10)/(24)=(15)/(24)=(5)/(8)

Then, the final answer is represented by the integer value and the fraction


4(3)/(8)-2(1)/(6)+3(5)/(12)=5(5)/(8)

Final answer:


\begin{equation*} 5(5)/(8) \end{equation*}

User DaniCee
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories