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Last week Sean and his roommates ate 712\frac{7}{12} of a carton of yogurt, and this week they ate 1112\frac{11}{12} of a carton. How much more yogurt did they eat this week compared to last week?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline____\_\_\_\_ cartons

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Q. Last week Sean and his roommates ate 712\frac{7}{12} of a carton of yogurt, and this week they ate 1112\frac{11}{12} of a carton. How much more yogurt did they eat this week compared to last week?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline____\_\_\_\_ cartons
  1. Identify amount of yogurt: Step 11: Identify the amount of yogurt eaten each week.\newlineLast week: 712\frac{7}{12} carton\newlineThis week: 1112\frac{11}{12} carton
  2. Calculate consumption difference: Step 22: Calculate the difference in yogurt consumption between the two weeks.\newlineDifference = This week's consumption - Last week's consumption\newlineDifference = 1112712\frac{11}{12} - \frac{7}{12}\newlineDifference = 11712\frac{11 - 7}{12}\newlineDifference = 412\frac{4}{12}
  3. Simplify fraction for final answer: Step 33: Simplify the fraction to find the final answer. \newline412\frac{4}{12} can be simplified by dividing the numerator and the denominator by their greatest common divisor, which is 44.\newline412=(4÷4)(12÷4)=13\frac{4}{12} = \frac{(4\div 4)}{(12\div 4)} = \frac{1}{3}