Solve for k. {:[(k)/(6)=(4)/(3)],[k=]:}

Set up equation: Set up the equation from the given problem. We are given the equation (k/6) = (4/3). We need to solve for k.Cross-multiply for k: Cross-multiply to solve for k. To solve for k, we can cross-multiply the fractions. This means multiplying the numerator of one fraction by the denominator of the other fraction and setting the products equal to each other. k * 3 = 4 * 6Perform multiplication: Perform the multiplication. Now we multiply the numbers to find the value of k. k * 3 = 24Divide to isolate k: Divide both sides by 3 to isolate k. To get k by itself, we divide both sides of the equation by 3. (k * 3) / 3 = 24 / 3Simplify for k: Simplify the equation to find the value of k. k = 24 / 3 k = 8

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Math Problems

Grade 6

Multiply using the distributive property

Full solution

Q. Solve for

k

\newline

\begin{array}{l} \frac{k}{6}=\frac{4}{3} \\ k=\square \end{array}

Set up equation: Set up the equation from the given problem. $\newline$ We are given the equation $(\frac{k}{6}) = (\frac{4}{3})$ . We need to solve for $k$ .
Cross-multiply for k: Cross-multiply to solve for $k$ . To solve for $k$ , we can cross-multiply the fractions. This means multiplying the numerator of one fraction by the denominator of the other fraction and setting the products equal to each other. $k \times 3 = 4 \times 6$
Perform multiplication: Perform the multiplication. $\newline$ Now we multiply the numbers to find the value of $k$ . $\newline$ $k \times 3 = 24$
Divide to isolate $k$ : Divide both sides by $3$ to isolate $k$ . $\newline$ To get $k$ by itself, we divide both sides of the equation by $3$ . $\newline$ $(k \times 3) / 3 = 24 / 3$
Simplify for $k$ : Simplify the equation to find the value of $k$ . $k = \frac{24}{3}$ $k = 8$