Evaluate w+(-x)-(2)/(3) where w=-(5)/(9) and x=(4)/(3).

Substitute Values: Substitute the given values of w and x into the expression. We have w = -(5/9) and x = (4/3). The expression becomes: w + (-x) - (2/3) = (-(5/9)) + (-(4/3)) - (2/3)Combine Like Terms: Simplify the expression by combining like terms. First, we need to add the two negative terms together. Since they have different denominators, we need to find a common denominator, which is 9 in this case. (-(5/9)) + (-(4/3)) = (-(5/9)) + (-(4/3 * 3/3)) = (-(5/9)) + (-(12/9)) Now we can add them together: (-(5/9)) + (-(12/9)) = -(5/9 + 12/9) = -(17/9)Subtract from Result: Subtract (2/3) from the result obtained in Step 2. We need to convert (2/3) to have the same denominator as (17/9) before we can subtract. The common denominator is 9. (2/3) = (2/3 * 3/3) = (6/9) Now subtract (6/9) from -(17/9): -(17/9) - (6/9) = -(17/9 + 6/9) = -(23/9)Write Final Answer: Write the final answer. The simplified expression is -(23/9).

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Evaluate
w+(-x)-(2)/(3) where
w=-(5)/(9) and
x=(4)/(3).

Evaluate $w+(-x)-\frac{2}{3}$ where $w=-\frac{5}{9}$ and $x=\frac{4}{3}$ .

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Math Problems

Grade 8

Evaluate multi-variable expressions

Full solution

Q. Evaluate

w+(-x)-\frac{2}{3}

where

w=-\frac{5}{9}

and

x=\frac{4}{3}

Substitute Values: Substitute the given values of $w$ and $x$ into the expression. $\newline$ We have $w = -\left(\frac{5}{9}\right)$ and $x = \left(\frac{4}{3}\right)$ . The expression becomes: $\newline$ $w + (-x) - \left(\frac{2}{3}\right) = \left(-\left(\frac{5}{9}\right)\right) + \left(-\left(\frac{4}{3}\right)\right) - \left(\frac{2}{3}\right)$
Combine Like Terms: Simplify the expression by combining like terms. $\newline$ First, we need to add the two negative terms together. Since they have different denominators, we need to find a common denominator, which is $9$ in this case. $\newline$ $(-(5/9)) + (-(4/3)) = (-(5/9)) + (-(4/3 \times 3/3)) = (-(5/9)) + (-(12/9))$ $\newline$ Now we can add them together: $\newline$ $(-(5/9)) + (-(12/9)) = -(5/9 + 12/9) = -(17/9)$
Subtract from Result: Subtract $(\frac{2}{3})$ from the result obtained in Step $2$ . $\newline$ We need to convert $(\frac{2}{3})$ to have the same denominator as $(\frac{17}{9})$ before we can subtract. The common denominator is $9$ . $\newline$ $(\frac{2}{3}) = (\frac{2}{3} \times \frac{3}{3}) = (\frac{6}{9})$ $\newline$ Now subtract $(\frac{6}{9})$ from $-(\frac{17}{9})$ : $\newline$ $-(\frac{17}{9}) - (\frac{6}{9}) = -(\frac{17}{9} + \frac{6}{9}) = -(\frac{23}{9})$
Write Final Answer: Write the final answer. $\newline$ The simplified expression is $-\frac{23}{9}$ .