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$Simplify the expression. Write your answers using integers or improper fractions. -(5)/(2)a-5(a+(1)/(2)) Answer:$

Simplify the expression. Write your answers using integers or improper fractions. $\newline$ $-\frac{5}{2} a-5\left(a+\frac{1}{2}\right)$ $\newline$ Answer:

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Multiplication with rational exponents

Full solution

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

\newline

-\frac{5}{2} a-5\left(a+\frac{1}{2}\right)

\newline

Answer:

Distribute and Multiply: Distribute the $-5$ across the parentheses. $\newline$ $-5 \times a + -5 \times (\frac{1}{2})$
Combine Like Terms: Perform the multiplication. $\newline$ $-5a - \left(\frac{5}{2}\right)$
Convert to Fractions: Combine the like terms, which are the terms with the variable $a$ . $-\frac{5}{2}a - 5a$
Add and Combine Fractions: Convert $-5a$ to a fraction with the same denominator as $-(5/2)a$ to combine them. $\newline$ $-5a = -5 \times (2/2)a = -(10/2)a$
Simplify Expression: Add the fractions $-\frac{5}{2}a$ and $-\frac{10}{2}a$ . $-\frac{5}{2}a - \frac{10}{2}a = -\frac{5 + 10}{2} \cdot a = -\frac{15}{2}a$
Simplify Expression: Add the fractions $-\frac{5}{2}a$ and $-\frac{10}{2}a$ . $-\frac{5}{2}a - \frac{10}{2}a = -\frac{5 + 10}{2} \cdot a = -\frac{15}{2}a$ Simplify the expression by combining the constants. $-\frac{15}{2}a$

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