Solve for w and simplify your answer. (4)/(3)w=-2 Answer:

Multiply by reciprocal: We are given the equation (4/3)w = -2. To solve for w, we need to isolate w on one side of the equation. We can do this by multiplying both sides of the equation by the reciprocal of (4/3), which is (3/4).Simplify left side: Multiply both sides of the equation by (3/4) to isolate w. (3/4) * (4/3)w = (3/4) * -2Perform multiplication: Simplify the left side of the equation. The (3/4) and (4/3) will cancel each other out, leaving us with w. w = (3/4) * -2Simplify fraction: Perform the multiplication on the right side of the equation. w = -2 * (3/4) w = -6/4Simplify the fraction on the right side of the equation. w = -3/2 or w = -1.5

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Math Problems

Grade 6

Powers with fractional bases

Full solution

Q. Solve for

w

and simplify your answer.

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\frac{4}{3} w=-2

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Answer:

Multiply by reciprocal: We are given the equation $(\frac{4}{3})w = -2$ . To solve for $w$ , we need to isolate $w$ on one side of the equation. We can do this by multiplying both sides of the equation by the reciprocal of $(\frac{4}{3})$ , which is $(\frac{3}{4})$ .
Simplify left side: Multiply both sides of the equation by $(\frac{3}{4})$ to isolate $w$ . $\frac{3}{4} \times \frac{4}{3}w = \frac{3}{4} \times -2$
Perform multiplication: Simplify the left side of the equation. The $(\frac{3}{4})$ and $(\frac{4}{3})$ will cancel each other out, leaving us with $w$ . $w = \left(\frac{3}{4}\right) \times -2$
Simplify fraction: Perform the multiplication on the right side of the equation. $\newline$ $w = -2 \times \left(\frac{3}{4}\right)$ $\newline$ $w = -\frac{6}{4}$
Simplify fraction: Perform the multiplication on the right side of the equation. $\newline$ $w = -2 \times \left(\frac{3}{4}\right)$ $\newline$ $w = -\frac{6}{4}$ Simplify the fraction on the right side of the equation. $\newline$ $w = -\frac{3}{2}$ or $w = -1.5$