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

Reduce to simplest form.\newline−58+(−85)= -\frac{5}{8}+\left(-\frac{8}{5}\right)=

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Full solution

Q. Reduce to simplest form.\newline−58+(−85)= -\frac{5}{8}+\left(-\frac{8}{5}\right)=
  1. Identify common denominator: Identify the common denominator for the fractions −58-\frac{5}{8} and −85-\frac{8}{5}.\newlineThe common denominator for 88 and 55 is 4040.
  2. Convert to equivalent fractions: Convert each fraction to an equivalent fraction with the common denominator of 4040. For −58-\frac{5}{8}, multiply both the numerator and the denominator by 55 to get −2540-\frac{25}{40}. For −85-\frac{8}{5}, multiply both the numerator and the denominator by 88 to get −6440-\frac{64}{40}.
  3. Add fractions with common denominator: Add the two fractions with the common denominator.\newline−2540−6440=−25−6440-\frac{25}{40} - \frac{64}{40} = \frac{-25 - 64}{40}
  4. Perform subtraction in numerator: Perform the subtraction in the numerator. −25−64=−89-25 - 64 = -89 So, the combined fraction is −89/40-89/40.
  5. Check for further simplification: Check if the fraction can be simplified further.\newlineThe fraction −8940-\frac{89}{40} is already in its simplest form because 8989 and 4040 have no common factors other than 11.

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