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u+77+u−77\qquad\dfrac{u+7}{7} + \dfrac{u-7}{7}

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Full solution

Q. u+77+u−77\qquad\dfrac{u+7}{7} + \dfrac{u-7}{7}
  1. Identify common denominator: Identify the common denominator in the expression.\newlineThe common denominator for both fractions is 77.
  2. Combine numerators: Combine the numerators over the common denominator.\newlineSince the denominators are the same, we can combine the numerators.\newlineu+77+u−77=(u+7)+(u−7)7\dfrac{u+7}{7} + \dfrac{u-7}{7} = \dfrac{(u+7) + (u-7)}{7}
  3. Simplify numerator: Simplify the numerator.\newlineAdd the like terms in the numerator.\newline(u+7)+(u−7)=u+7+u−7(u+7) + (u-7) = u + 7 + u - 7
  4. Further simplify numerator: Further simplify the numerator by combining like terms.\newlineu+7+u−7=2uu + 7 + u - 7 = 2u
  5. Write simplified expression: Write the simplified expression.\newlineThe simplified expression is 2u7\dfrac{2u}{7}.

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