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Carter and his roommates ate 1241\frac{2}{4} pints of ice cream on Friday night and 2132\frac{1}{3} pints of ice cream on Saturday night. How many pints did they eat in all?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline___\_\_\_ pints

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Q. Carter and his roommates ate 1241\frac{2}{4} pints of ice cream on Friday night and 2132\frac{1}{3} pints of ice cream on Saturday night. How many pints did they eat in all?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline___\_\_\_ pints
  1. Convert to Improper Fractions: Convert mixed numbers to improper fractions for easier addition.\newline124=1+24=44+24=641\frac{2}{4} = 1 + \frac{2}{4} = \frac{4}{4} + \frac{2}{4} = \frac{6}{4}\newline213=2+13=63+13=732\frac{1}{3} = 2 + \frac{1}{3} = \frac{6}{3} + \frac{1}{3} = \frac{7}{3}
  2. Add Improper Fractions: Add the two improper fractions.\newlineFirst, find a common denominator, which is 1212.\newline64=(6×34×3)=1812\frac{6}{4} = \left(\frac{6\times3}{4\times3}\right) = \frac{18}{12}\newline73=(7×43×4)=2812\frac{7}{3} = \left(\frac{7\times4}{3\times4}\right) = \frac{28}{12}\newlineNow, add them: 1812+2812=4612\frac{18}{12} + \frac{28}{12} = \frac{46}{12}
  3. Simplify Fraction: Simplify the fraction 4612\frac{46}{12}.\newlineDivide both numerator and denominator by their greatest common divisor, which is 22.\newline4612÷2=236\frac{46}{12} \div 2 = \frac{23}{6}

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