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Simplify. Write your answer using whole numbers and variables. $\newline$ $\frac{8}{2z + 2}$

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Create linear equations with no solutions or infinitely many solutions

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Q. Simplify. Write your answer using whole numbers and variables.

\newline

\frac{8}{2z + 2}

Simplify Fraction $\frac{8}{2z}$ : To simplify the expression $\frac{8}{2z} + 2$ , we first simplify the fraction $\frac{8}{2z}$ . We divide $8$ by $2$ to simplify the fraction. $8$ divided by $2$ is $4$ . So, $\frac{8}{2z}$ simplifies to $\frac{4}{z}$ .
Add $2$ to Simplified Fraction: Now we have the simplified fraction $\frac{4}{z}$ , and we need to add $2$ to it. $\newline$ However, since $2$ is not a fraction with the denominator $z$ , we cannot directly add it to $\frac{4}{z}$ . $\newline$ To add $2$ to $\frac{4}{z}$ , we need to express $2$ as a fraction with the same denominator as $\frac{4}{z}$ . $\newline$ The equivalent fraction for $2$ with denominator $z$ is $2$ $1$ .
Combine Fractions with Same Denominator: Now we can add the two fractions since they have the same denominator. $\newline$ We add the numerators and keep the denominator the same. $\newline$ So, $\frac{4}{z} + \frac{2z}{z}$ equals $\frac{4 + 2z}{z}.$
Final Simplified Expression: The expression is now simplified to $(4 + 2z)/z$ . This is the final simplified form using whole numbers and variables.

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