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A furniture maker used 23\frac{2}{3} of a can of paint to paint some chairs. She used 16\frac{1}{6} of a can of paint for each chair. How many chairs did she paint?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline___\_\_\_ chairs

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Q. A furniture maker used 23\frac{2}{3} of a can of paint to paint some chairs. She used 16\frac{1}{6} of a can of paint for each chair. How many chairs did she paint?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline___\_\_\_ chairs
  1. Identify Total Paint Amount: Step 11: Identify the total amount of paint used and the amount used per chair.\newlineTotal paint used: 23\frac{2}{3} of a can.\newlinePaint per chair: 16\frac{1}{6} of a can.\newlineWe need to divide the total paint used by the amount used per chair to find the number of chairs painted.\newlineCalculation: (23)÷(16)\left(\frac{2}{3}\right) \div \left(\frac{1}{6}\right)
  2. Calculate Number of Chairs: Step 22: Perform the division to find the number of chairs. Using the property of division of fractions, (23)÷(16)(\frac{2}{3}) \div (\frac{1}{6}) is equivalent to (23)×(61)(\frac{2}{3}) \times (\frac{6}{1}). Calculation: (23)×(61)=123=4(\frac{2}{3}) \times (\frac{6}{1}) = \frac{12}{3} = 4. So, the furniture maker painted 44 chairs.