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Clarence's service project is to put a fresh coat of paint on the north wall of the school building. That's a lot of work, so he asks some friends to help. To split up the work, Clarence divides the wall into 66 equal sections. Clarence paints 22 sections himself.\newlineWhat fraction of the wall does Clarence paint?\newline____ /____

Full solution

Q. Clarence's service project is to put a fresh coat of paint on the north wall of the school building. That's a lot of work, so he asks some friends to help. To split up the work, Clarence divides the wall into 66 equal sections. Clarence paints 22 sections himself.\newlineWhat fraction of the wall does Clarence paint?\newline____ /____
  1. Identify Sections Painted: Identify the total sections and the sections Clarence painted. Clarence paints 22 out of 66 sections.
  2. Simplify Fraction: Simplify the fraction 26\frac{2}{6} to its lowest terms. Find the Greatest Common Factor (GCF) of 22 and 66, which is 22. Divide both the numerator and the denominator by the GCF: (22)/(62)=13\left(\frac{2}{2}\right)/\left(\frac{6}{2}\right) = \frac{1}{3}.