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Mathematics 23 Online
OpenStudy (anonymous):

what is the LCD of the following fractions: negative 2/3n and 7/3?

OpenStudy (jdoe0001):

\(\bf \cfrac{2}{3n}\qquad \cfrac{7}{3}\\ \quad \\ \textit{a value or expression that can be divided by both}\\ \quad \\ \cfrac{{\color{blue}{ \cancel{3n}}}}{\cancel{3n}}\implies 1\qquad \qquad \cfrac{{\color{blue}{ \cancel{3}n}}}{\cancel{3}}\implies n\)

OpenStudy (anonymous):

im confused...

OpenStudy (jdoe0001):

hmm ok... do you know what an LCD is?

OpenStudy (anonymous):

my choices are 14, 3, 3n, and 9n. and yes, the LCD is the least common denominator. @jdoe0001

OpenStudy (jdoe0001):

least common denominator <--- what does that mean?

OpenStudy (anonymous):

the smallest number that two or more denominators can go into.

OpenStudy (jdoe0001):

right

OpenStudy (jdoe0001):

well, in this case, you also have an "n" in the denominator... so it'd be the smallest expression \(\bf \cfrac{2}{3n}\qquad \cfrac{7}{3}\\ \quad \\ \textit{a value or expression that can be divided by both}\\ \quad \\ \cfrac{{\color{blue}{ \cancel{3n}}}}{\cancel{3n}}\implies 1\qquad \qquad \cfrac{{\color{blue}{ \cancel{3}n}}}{\cancel{3}}\implies n\)

OpenStudy (jdoe0001):

see it?

OpenStudy (anonymous):

kind of..... i just dont know what to do next

OpenStudy (jdoe0001):

\(\bf \cfrac{{\color{blue}{ \cancel{3n}}}}{\cancel{3n}}\ or \ 3n\div3n\implies 1\qquad \qquad \cfrac{{\color{blue}{ \cancel{3}n}}}{\cancel{3}}\ or \ 3n\div3\implies n\)

OpenStudy (anonymous):

so it would be 3n?

OpenStudy (anonymous):

or just 3?

OpenStudy (jdoe0001):

3n is the dividend, it can be divided by 3 and 3n

OpenStudy (anonymous):

ok thanks

OpenStudy (jdoe0001):

yw

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