Question

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

Answer 1

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*}`