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Suppose $\frac ab = \frac35$,$\frac bc=\frac{15}{2}$, and $\frac cd = 8$. What is the value of $\frac ad$? Express your answer in simplest form.

 Apr 12, 2022
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\(Suppose\\ \dfrac{a}{b}=\dfrac{3}{5},\ \dfrac{b}{c}=\dfrac{15}{2},\ \dfrac{c}{d}=8\)

\(What\ is\ the\ value\ of \)    \(\dfrac{a}{d}\ ?\)

 

Hello Guest!

 

\(Suppose\\ \dfrac{a}{b}=\dfrac{3}{5},\ \dfrac{b}{c}=\dfrac{15}{2},\ \dfrac{c}{d}=8\)

Then

\(b=\dfrac{5a}{3},\ c=\dfrac{2b}{15},\ d=\dfrac{c}{8}\\ \dfrac{5a}{b}=3,\ \dfrac{2b}{c}=15,\ \dfrac{c}{d}=8\\ 5a=3b,\ 2b=15c,\ c=8d\)

\(b=\dfrac{5a}{3},\ c=\dfrac{2a}{9},\ d=\dfrac{a}{36},\ a\neq 0\)

\({\color{blue}\dfrac{a}{d}}=\dfrac{a}{\frac{a}{36}}=a\cdot\dfrac{36}{a}\color{blue} =36\)

Sorry, it lured me.

laugh  !

 Apr 12, 2022

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