Calculate the Product: Adding 1/3 and 5/12, Then Multiply by 24

$(\frac{1}{3}+\frac{5}{12})\times24=$

We'll use the distributive property and multiply 24 by each term in parentheses:

$(\frac{1}{3}\times24)+(\frac{5}{12}\times24)=$

Let's solve the left parentheses. Remember that:

$24=\frac{24}{1}$

$\frac{1}{3}\times\frac{24}{1}=\frac{1\times24}{3\times1}=\frac{24}{3}$

Now let's look at the right parentheses, where we'll split 24 into a smaller multiplication exercise that will help us later with reduction:

$(\frac{5}{12}\times24)=(\frac{5}{12}\times12\times2)$

Now we'll reduce the 12 in the numerator and the 12 in the multiplication exercise and get:

$\frac{24}{3}+5\times2=$

Let's solve the fraction:

$\frac{24}{3}=8$

Now we'll get the exercise:

$8+(5\times2)=$

According to the order of operations, we'll solve what's in the parentheses and get:

$8+10=18$