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

$4\frac{3}{8}-2\frac{1}{6}+3\frac{5}{12}$

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

$\frac{3}{8}-\frac{1}{6}+\frac{5}{12}$

I'll do the subtraction first, then

$\frac{3}{8}-\frac{1}{6}=\frac{3\cdot6-8}{8\cdot6}=\frac{18-8}{48}=\frac{10}{48}=\frac{5}{24}$

And now we do the sum

$\frac{5}{24}+\frac{5}{12}=\frac{5}{24}+\frac{10}{24}=\frac{5+10}{24}=\frac{15}{24}=\frac{5}{8}$

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

$4\frac{3}{8}-2\frac{1}{6}+3\frac{5}{12}=5\frac{5}{8}$

Final answer:

$\begin{equation*} 5\frac{5}{8} \end{equation*}$