Lucas cut a board that is 3 1/5 ft long and 3 1/3 ft wide. What is the area of the board?
Express in simplest form
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OpenStudy (tgannon998):
What do you think it is?
OpenStudy (anonymous):
A. 6 8/15
B. 9 1/15
C. 9 2/3
D. 10 2/3
OpenStudy (anonymous):
@flower2468
OpenStudy (tgannon998):
D
OpenStudy (anonymous):
No direct answers!
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OpenStudy (anonymous):
and I need someone to explain it to me! thxs
OpenStudy (tgannon998):
Multiply the sides together
OpenStudy (anonymous):
@rebeccaxhawaii
OpenStudy (anonymous):
@Qwertty123
OpenStudy (anonymous):
@phi
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OpenStudy (phi):
can you change 3 1/5 to an improper fraction ?
OpenStudy (anonymous):
no
OpenStudy (phi):
first change 3 by multiplying it by 5/5
what do you get ?
OpenStudy (mathmale):
Area of a rectangle = A = (length) * (width).
Here, the length is ... ? and the width is ... ?
So the area is (length) * (width) = ?
OpenStudy (anonymous):
25
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OpenStudy (mathmale):
And yes, the first step is to convert these mixed numbers to improper fractions.
OpenStudy (phi):
what is 3*5 / 5 ?
OpenStudy (anonymous):
25
OpenStudy (phi):
what is 3*5 ? ( not 25!)
OpenStudy (anonymous):
15 i meant
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OpenStudy (phi):
what is 3*5 / 5 ?
OpenStudy (anonymous):
sorry i got mixed up with 5 times 5
OpenStudy (anonymous):
3
OpenStudy (phi):
yes, 3 is the same as 15/5 (if you simplify it you get back 3)
anyway
3 1/5 is the same as
\[ \frac{15}{5}+\frac{1}{5} \]
you add the tops and keep the same bottom
OpenStudy (anonymous):
3 1/5
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OpenStudy (phi):
ok, but we are changing 3 1/5 to 15/5 + 1/5 to get an improper fraction
can you add
\[ \frac{15}{5} + \frac{1}{5}\]?
OpenStudy (anonymous):
3 1/5
OpenStudy (phi):
you add fractions with the *same bottom*, you add their tops
OpenStudy (anonymous):
???
OpenStudy (phi):
what is 15+1 ?
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OpenStudy (anonymous):
16
OpenStudy (phi):
that means
\[ \frac{15}{5}+\frac{1}{5}= \frac{16}{5} \]
what you did is change 3 1/5 to 16/5