Asked by Matt
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
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
Answers
Answered by
Reiny
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
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
Answered by
Matt
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?
Answered by
Matt
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?
44/3=14.6
How did you get 462?
Answered by
Reiny
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.
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.
Answered by
Matt
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?
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?
Answered by
Reiny
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?
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?
Answered by
Ines
132
Answered by
lol
idk what the answer is bro
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