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Reduce to simplest form.

-(5)/(9)+(-(7)/(12))=

Reduce to simplest form.\newline59+(712)= -\frac{5}{9}+\left(-\frac{7}{12}\right)=

Full solution

Q. Reduce to simplest form.\newline59+(712)= -\frac{5}{9}+\left(-\frac{7}{12}\right)=
  1. Find Common Denominator: Find a common denominator for the fractions 59 \frac{5}{9} and 712 \frac{7}{12} .\newlineThe common denominator for 99 and 1212 is 3636, as it is the least common multiple of the two denominators.
  2. Convert to Equivalent Fractions: Convert each fraction to an equivalent fraction with the common denominator of 3636.\newlineFor 59 \frac{5}{9} , multiply the numerator and denominator by 44 to get 2036 \frac{20}{36} .\newlineFor 712 \frac{7}{12} , multiply the numerator and denominator by 33 to get 2136 \frac{21}{36} .
  3. Rewrite Expression: Rewrite the original expression with the equivalent fractions.\newlineThe expression becomes -2036 \frac{20}{36} + 2136 -\frac{21}{36} .
  4. Add Fractions: Add the fractions with the common denominator.\newlineSince both fractions have the same denominator, we can combine the numerators and keep the denominator the same.\newlineThe sum is -2036 \frac{20}{36} - 2136 \frac{21}{36} = -4136 \frac{41}{36} .
  5. Simplify Fraction: Simplify the fraction, if possible.\newlineThe fraction -4136 \frac{41}{36} is already in its simplest form because 4141 and 3636 have no common factors other than 11.

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