Reduce to simplest form. -(3)/(5)+(-(8)/(2))=

Identify numbers and signs: Identify the numbers and their signs. We have two fractions, -$ \frac{3}{5} $ and $ -\frac{8}{2} $, which we need to add together. Both fractions have negative signs.Simplify second fraction: Simplify the second fraction. The fraction $ -\frac{8}{2} $ can be simplified because 8 is divisible by 2. So, $ -\frac{8}{2} $ simplifies to -4.Add simplified fractions: Add the simplified fractions. Now we add -$ \frac{3}{5} $ and -4 together. Since -4 can be written as $ -\frac{20}{5} $ (to have a common denominator with $ \frac{3}{5} $), we can add the numerators directly. -$ \frac{3}{5} $ + $ -\frac{20}{5} $ = $ -\frac{3 + 20}{5} $Perform addition: Perform the addition. Adding the numerators, we get $ -\frac{3 + 20}{5} $ = $ -\frac{23}{5} $.

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Math Problems

Grade 6

Multiply using the distributive property

Full solution

Q. Reduce to simplest form.

\newline

-\frac{3}{5}+\left(-\frac{8}{2}\right)=

Identify numbers and signs: Identify the numbers and their signs. $\newline$ We have two fractions, - $\frac{3}{5}$ and $-\frac{8}{2}$ , which we need to add together. Both fractions have negative signs.
Simplify second fraction: Simplify the second fraction. $\newline$ The fraction $-\frac{8}{2}$ can be simplified because $8$ is divisible by $2$ . So, $-\frac{8}{2}$ simplifies to $-4$ .
Add simplified fractions: Add the simplified fractions. $\newline$ Now we add - $\frac{3}{5}$ and $-4$ together. Since $-4$ can be written as $-\frac{20}{5}$ (to have a common denominator with $\frac{3}{5}$ ), we can add the numerators directly. $\newline$ - $\frac{3}{5}$ + $-\frac{20}{5}$ = $-\frac{3 + 20}{5}$
Perform addition: Perform the addition. $\newline$ Adding the numerators, we get $-\frac{3 + 20}{5}$ = $-\frac{23}{5}$ .