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What is the sum? Complete the equation. 3(1)/(7)+(-5(4)/(7))=

What is the sum? Complete the equation.\newline317+(−547)= 3 \frac{1}{7}+\left(-5 \frac{4}{7}\right)=

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Full solution

Q. What is the sum? Complete the equation.\newline317+(−547)= 3 \frac{1}{7}+\left(-5 \frac{4}{7}\right)=
  1. Simplify Improper Fraction: Simplify −547-5\frac{4}{7} to an improper fraction. \newline−547=−5+47=−(357)+47=−317-5\frac{4}{7} = -5 + \frac{4}{7} = -(\frac{35}{7}) + \frac{4}{7} = -\frac{31}{7}
  2. Add Fractions: Add 37\frac{3}{7} and −317-\frac{31}{7}.37+(−317)=3−317=−287\frac{3}{7} + \left(-\frac{31}{7}\right) = \frac{3 - 31}{7} = -\frac{28}{7}
  3. Simplify Result: Simplify −287-\frac{28}{7}.\newline−287=−4-\frac{28}{7} = -4

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