Solve the equation. {:[(5)/(6)w=(10)/(3)],[w=]:}

Identify Equation & Goal: Identify the given equation and the goal. We have the equation (5/6)w = (10/3) and we need to solve for w.Isolate Variable by Multiplying: Isolate the variable w by multiplying both sides of the equation by the reciprocal of (5/6), which is (6/5). (6/5) * (5/6)w = (6/5) * (10/3)Simplify Left Side: Simplify the left side of the equation by canceling out the common factors in the numerator and the denominator. (6/5) * (5/6)w = wSimplify Right Side: Simplify the right side of the equation by multiplying the numerators and denominators. w = (6 * 10) / (5 * 3) w = 60 / 15Divide to Find Value: Divide 60 by 15 to find the value of w. w = 4

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Solve the equation.

{:[(5)/(6)w=(10)/(3)],[w=]:}

Solve the equation. $\newline$ $\begin{array}{l} \frac{5}{6} w=\frac{10}{3} \\ w= \end{array}$

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Math Problems

Grade 6

Multiply two decimals: where does the decimal point go?

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Q. Solve the equation.

\newline

\begin{array}{l} \frac{5}{6} w=\frac{10}{3} \\ w= \end{array}

Identify Equation & Goal: Identify the given equation and the goal. $\newline$ We have the equation $(\frac{5}{6})w = (\frac{10}{3})$ and we need to solve for $w$ .
Isolate Variable by Multiplying: Isolate the variable $w$ by multiplying both sides of the equation by the reciprocal of $\frac{5}{6}$ , which is $\frac{6}{5}$ . $\frac{6}{5} \times \frac{5}{6}w = \frac{6}{5} \times \frac{10}{3}$
Simplify Left Side: Simplify the left side of the equation by canceling out the common factors in the numerator and the denominator. $\newline$ $(\frac{6}{5}) \times (\frac{5}{6})w = w$
Simplify Right Side: Simplify the right side of the equation by multiplying the numerators and denominators. $\newline$ $w = \frac{6 \times 10}{5 \times 3}$ $\newline$ $w = \frac{60}{15}$
Divide to Find Value: Divide $60$ by $15$ to find the value of $w$ . $\newline$ $w = 4$