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Janelle divided 23\frac{2}{3} of a gallon of ketchup equally into 44 smaller bottles to put on the tables in her hamburger restaurant. How much ketchup did she put in each bottle?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline_____ gallons

Full solution

Q. Janelle divided 23\frac{2}{3} of a gallon of ketchup equally into 44 smaller bottles to put on the tables in her hamburger restaurant. How much ketchup did she put in each bottle?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline_____ gallons
  1. Rewrite Division Problem: Rewrite the division problem using the given quantities: Janelle has 23\frac{2}{3} gallons of ketchup and divides it into 44 bottles.\newlineCalculation: (23)÷4\left(\frac{2}{3}\right) \div 4
  2. Convert to Multiplication: Convert the division into multiplication by the reciprocal of 44. Calculation: (23)×(14)(\frac{2}{3}) \times (\frac{1}{4})
  3. Multiply Numerators and Denominators: Multiply the numerators and the denominators.\newlineCalculation: (2×1)/(3×4)=2/12(2 \times 1) / (3 \times 4) = 2/12
  4. Simplify Fraction: Simplify the fraction 212\frac{2}{12} to its lowest terms.\newlineCalculation: 212=16\frac{2}{12} = \frac{1}{6}