Three pictures hang side by side on a wall. What is the total area of the wall that the pictures cover?

Length is 10 1/2 inches, 10 1/2 inches, 10 1/2 inches

Width 14 2/3 inches

Would I need to add 10 1/2 plus 10 1/2 plus 10 1/2 and then multiply by 14 2/3 inches?

Please advise how I would go about doing this math problem

That would work, since the width is apparently the same for all three, so is the length.

total area = (21/2)(44/3) + (21/2)(44/3) + (21/3)(44/3)
= 462
or
= (44/3)(21/2 + 21/2 + 21/2) <---- your way
= 462
or, even simpler
= 3(21/2)(44/3)
= 462

idk what the answer is bro

To find the total area of the wall that the pictures cover, you need to multiply the length by the width. Since there are three pictures hanging side by side, you need to multiply by three.

First, let's convert the mixed numbers to improper fractions:

Length: 10 1/2 inches can be written as 10 + 1/2 = 20/2 + 1/2 = 21/2 inches
Width: 14 2/3 inches can be written as 14 + 2/3 = 42/3 + 2/3 = 44/3 inches

Now, multiply the length by the width:

Total Area = (21/2) inches x (44/3) inches

To multiply fractions, multiply the numerators (top numbers) together and the denominators (bottom numbers) together:

Total Area = (21/2) inches x (44/3) inches
= (21 x 44) / (2 x 3) square inches
= 924 / 6 square inches
= 154 square inches

Therefore, the total area of the wall that the pictures cover is 154 square inches.

Okay. I understand how to get 21/2 and how to get 44/3 because I converted the mixed fractions into improper fractions but I am confused on how you put (21/2)(44/3) + (21/2)(44/3) +(21/2)(44/3) how would I add these?

no!

when adding fractions with the same denominator like we have here, you add the numerators only and keep the denominator.

21/2 plus 21/2 plus 21/2 = 63/2

and (63/2)(44/3) = 2772/6 = 462

In my actual calculation, I would have cancelled the 3 into the 63 --> 21
and the 2 into the 44 ---> 22
so 21(44) = 462

looks like time to review operations with fractions.

44/3 is not equal to 14.6, it is 14.6666....

so you have used a truncated decimal, so your answer is not exactly the same.
The problem is that 44 does not divide by 3 exactly.
try this on your calculator:
31.5 x 14.66666... (enter as many 6's as you can)
you should get 461.9999..
now, for all practical purposes, isn't that 462?

132

So what you did then and I understand now how you got 63/2 because of how you explained it.

Then you take 63/2 x 44/3=2,772/6=462
So the total area of the wall that the pictures cover is 462 inches?

My only other question is this- If you simplify 63/2 this equals 31.5 and if you simplify 44/3 this equals 14.6
31.5 x 14.6=459.9
Why would you not use 459.9 as the answer?

If I add (21/2 plus 21/2 plus 21/2) this equals 63/6=10.5

44/3=14.6

How did you get 462?