Solve for k. {:[(3)/(k)=(4)/(5)],[k=]:}

Write Equation: Write down the given equation. We have the equation 3/k = 4/5. We need to solve for k.Cross-Multiply: Cross-multiply to solve for k. Cross-multiplication gives us 3 × 5 = 4 × k.Perform Multiplication: Perform the multiplication on both sides. 3 × 5 = 15 and 4 × k = 4k. So, we have 15 = 4k.Divide to Isolate: Divide both sides by 4 to isolate k. 15 ÷ 4 = 4k ÷ 4.Simplify to Find k: Simplify both sides to find the value of k. 15 ÷ 4 = 3.75 and 4k ÷ 4 = k. So, k = 3.75.

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Solve for
k.

{:[(3)/(k)=(4)/(5)],[k=]:}

Solve for $k$ . $\newline$ $\begin{array}{l} \frac{3}{k}=\frac{4}{5} \\ k=\square \end{array}$

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Math Problems

Grade 6

Multiply using the distributive property

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Q. Solve for

k

\newline

\begin{array}{l} \frac{3}{k}=\frac{4}{5} \\ k=\square \end{array}

Write Equation: Write down the given equation. $\newline$ We have the equation $\frac{3}{k} = \frac{4}{5}$ . We need to solve for $k$ .
Cross-Multiply: Cross-multiply to solve for $k$ . Cross-multiplication gives us $3 \times 5 = 4 \times k$ .
Perform Multiplication: Perform the multiplication on both sides. $\newline$ $3 \times 5 = 15$ and $4 \times k = 4k$ . $\newline$ So, we have $15 = 4k$ .
Divide to Isolate: Divide both sides by $4$ to isolate $k$ . $15 \div 4 = 4k \div 4$ .
Simplify to Find $k$ : Simplify both sides to find the value of $k$ . $\frac{15}{4} = 3.75$ and $\frac{4k}{4} = k$ . So, $k = 3.75$ .