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Reduce to simplest form.

-(7)/(8)-(-(5)/(6))=

Reduce to simplest form.\newline78(56)= -\frac{7}{8}-\left(-\frac{5}{6}\right)=

Full solution

Q. Reduce to simplest form.\newline78(56)= -\frac{7}{8}-\left(-\frac{5}{6}\right)=
  1. Identify numbers and signs: Identify the numbers to be subtracted and their signs.\newlineWe have two fractions, -78 \frac{7}{8} and -56 -\frac{5}{6} . The second fraction has a double negative, which means it will become positive when simplified.
  2. Simplify double negative: Simplify the double negative in the second fraction.\newlineThe expression -56 -\frac{5}{6} becomes 56 \frac{5}{6} because a negative times a negative is a positive.
  3. Find common denominator: Find a common denominator for the two fractions.\newlineThe denominators are 88 and 66. The least common multiple of 88 and 66 is 2424, so we will use 2424 as the common denominator.
  4. Convert to common denominator: Convert each fraction to an equivalent fraction with the common denominator of 2424.\newlineFor -78 \frac{7}{8} , we multiply the numerator and denominator by 33 to get -2124 \frac{21}{24} .\newlineFor 56 \frac{5}{6} , we multiply the numerator and denominator by 44 to get 2024 \frac{20}{24} .
  5. Subtract the fractions: Subtract the two fractions.\newlineNow we subtract -2124 \frac{21}{24} from 2024 \frac{20}{24} to get 20242124 \frac{20}{24} - \frac{21}{24} .
  6. Perform the subtraction: Perform the subtraction.\newline20242124 \frac{20}{24} - \frac{21}{24} equals 124 \frac{-1}{24} .
  7. Check for further simplification: Check if the result can be simplified further.\newlineThe fraction 124 \frac{-1}{24} is already in its simplest form because the numerator and denominator have no common factors other than 11.

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