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Reduce to simplest form.

-(1)/(2)-(3)/(5)=

Reduce to simplest form. $\newline$ $-\frac{1}{2}-\frac{3}{5}=$

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Simplify variable expressions using properties

Full solution

Q. Reduce to simplest form.

\newline

-\frac{1}{2}-\frac{3}{5}=

Find LCD: To combine the fractions, we need a common denominator. The least common denominator (LCD) for $2$ and $5$ is $10$ .
Convert to LCD: Convert each fraction to an equivalent fraction with the denominator of $10$ . For $-\frac{1}{2}$ , multiply the numerator and denominator by $5$ to get $-\frac{5}{10}$ . For $-\frac{3}{5}$ , multiply the numerator and denominator by $2$ to get $-\frac{6}{10}$ .
Combine Fractions: Now that we have common denominators, we can combine the fractions by adding the numerators. So, $-\frac{5}{10} - \frac{6}{10}$ equals $-\frac{11}{10}.$
Simplify Result: The fraction $-\frac{11}{10}$ is already in its simplest form because the numerator and the denominator have no common factors other than $1$ .

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