B. (7)/(6)-(◻)/(6)=(2)/(6)

Set up the equation: Set up the equation to solve for the box (◻). We have the equation (7/6) - (◻/6) = (2/6). To find the value of the box, we need to isolate it on one side of the equation.Add to both sides: Add (◻/6) to both sides of the equation to move it to the right side. (7/6) - (◻/6) + (◻/6) = (2/6) + (◻/6) This simplifies to: (7/6) = (2/6) + (◻/6)Combine like terms: Combine like terms on the right side of the equation. Since (2/6) and (◻/6) have the same denominator, we can combine them. (7/6) = (2/6) + (◻/6) (7/6) = (2 + ◻)/6Subtract to isolate: Subtract (2/6) from both sides of the equation to isolate the term with the box. (7/6) - (2/6) = (2 + ◻)/6 - (2/6) This simplifies to: (5/6) = (◻/6)Multiply to solve: Multiply both sides of the equation by 6 to solve for the box. 6 * (5/6) = 6 * (◻/6) This simplifies to: 5 = ◻

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B. $\frac{7}{6}-\frac{\square}{6}=\frac{2}{6}$

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Math Problems

Algebra 1

Multiplication with rational exponents

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Q. B.

\frac{7}{6}-\frac{\square}{6}=\frac{2}{6}

Set up the equation: Set up the equation to solve for the box (◻). $\newline$ We have the equation $(\frac{7}{6}) - (\frac{◻}{6}) = (\frac{2}{6})$ . To find the value of the box, we need to isolate it on one side of the equation.
Add to both sides: Add $(\square/6)$ to both sides of the equation to move it to the right side. $\newline$ $(7/6) - (\square/6) + (\square/6) = (2/6) + (\square/6)$ $\newline$ This simplifies to: $\newline$ $(7/6) = (2/6) + (\square/6)$
Combine like terms: Combine like terms on the right side of the equation. $\newline$ Since $(\frac{2}{6})$ and $(\frac{\square}{6})$ have the same denominator, we can combine them. $\newline$ $(\frac{7}{6}) = (\frac{2}{6}) + (\frac{\square}{6})$ $\newline$ $(\frac{7}{6}) = (\frac{2 + \square}{6})$
Subtract to isolate: Subtract $(\frac{2}{6})$ from both sides of the equation to isolate the term with the box. $\newline$ (\frac{$7$}{$6$}) - (\frac{$2$}{$6$}) = (\frac{$2$ + \boxempty}{$6$}) - (\frac{$2$}{$6$})$\newlineThis simplifies to: $\newline$ (\frac{\(5$}{$6$}) = (\frac{\boxempty}{$6$})
Multiply to solve: Multiply both sides of the equation by \(6 to solve for the box. $\newline$ $6 \times \left(\frac{5}{6}\right) = 6 \times \left(\frac{\square}{6}\right)$ $\newline$ This simplifies to: $\newline$ $5 = \square$