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$Simplify the expression. Write your answers using integers or improper fractions. -(1)/(2)((1)/(2)h+(1)/(2))+4h Answer:$

Simplify the expression. Write your answers using integers or improper fractions. $\newline$ $-\frac{1}{2}\left(\frac{1}{2} h+\frac{1}{2}\right)+4 h$ $\newline$ Answer:

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Roots of rational numbers

Full solution

Q. Simplify the expression. Write your answers using integers or improper fractions.

\newline

-\frac{1}{2}\left(\frac{1}{2} h+\frac{1}{2}\right)+4 h

\newline

Answer:

Distribute and Simplify: First, distribute the negative one-half across the terms inside the parentheses. $\newline$ $-\frac{1}{2}(\frac{1}{2}h+\frac{1}{2}) = -\frac{1}{2}\cdot\frac{1}{2}h - \frac{1}{2}\cdot\frac{1}{2}$
Simplify Fractions: Now, simplify the multiplication of the fractions. $\newline$ $-\frac{1}{2}\times\frac{1}{2}h = -\frac{1\times1}{2\times2}h = -\frac{1}{4}h$ $\newline$ $-\frac{1}{2}\times\frac{1}{2} = -\frac{1\times1}{2\times2} = -\frac{1}{4}$
Combine Terms: Combine the simplified terms with the $4h$ term that is outside the parentheses. $\newline$ $-(\frac{1}{4})h - (\frac{1}{4}) + 4h$
Add Like Terms: Combine like terms by adding $-\frac{1}{4}h$ and $4h$ . $\newline$ $4h - \frac{1}{4}h = \frac{16}{4}h - \frac{1}{4}h = \frac{15}{4}h$
Final Simplified Expression: Now, bring down the constant term $-(1)/(4)$ . The final simplified expression is $(15/4)h - (1)/(4)$ .

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