If (j)/(k)=(4)/(5), which of the following correctly expresses k in terms of j ? Choose 1 answer: (A) k=(4)/(5j) (B) k=(5)/(4j) (C) k=(4j)/(5) (D) k=(5j)/(4)

Cross-multiply to eliminate fractions: The given equation is $ \frac{j}{k} = \frac{4}{5} $. To express $ k $ in terms of $ j $, we need to solve for $ k $. Start by cross-multiplying to eliminate the fractions.Relate j and k directly: Cross-multiplying gives us $ 5j = 4k $. This equation relates $ j $ and $ k $ directly and allows us to solve for $ k $ in terms of $ j $.Isolate k in terms of j: To solve for $ k $, divide both sides of the equation by 4. This gives $ k = \frac{5j}{4} $. This step isolates $ k $ on one side of the equation, expressing it in terms of $ j $.

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If
(j)/(k)=(4)/(5), which of the following correctly expresses
k in terms of
j ?
Choose 1 answer:
(A)
k=(4)/(5j)
(B)
k=(5)/(4j)
(C)
k=(4j)/(5)
(D)
k=(5j)/(4)

If $\frac{j}{k}=\frac{4}{5}$ , which of the following correctly expresses $k$ in terms of $j$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $k=\frac{4}{5 j}$ $\newline$ (B) $k=\frac{5}{4 j}$ $\newline$ (C) $k=\frac{4 j}{5}$ $\newline$ (D) $k=\frac{5 j}{4}$

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Math Problems

Algebra 2

Simplify rational expressions

Full solution

Q. If

\frac{j}{k}=\frac{4}{5}

, which of the following correctly expresses

k

in terms of

j

\newline

Choose

1

answer:

\newline

(A)

k=\frac{4}{5 j}

\newline

(B)

k=\frac{5}{4 j}

\newline

(C)

k=\frac{4 j}{5}

\newline

(D)

k=\frac{5 j}{4}

Cross-multiply to eliminate fractions: The given equation is $\frac{j}{k} = \frac{4}{5}$ . To express $k$ in terms of $j$ , we need to solve for $k$ . Start by cross-multiplying to eliminate the fractions.
Relate j and k directly: Cross-multiplying gives us $5j = 4k$ . This equation relates $j$ and $k$ directly and allows us to solve for $k$ in terms of $j$ .
Isolate k in terms of j: To solve for $k$ , divide both sides of the equation by $4$ . This gives $k = \frac{5j}{4}$ . This step isolates $k$ on one side of the equation, expressing it in terms of $j$ .